The quotient of a number and 2 is the same as the difference of the number doubled and 3. what is the number? | Homework.Study.com (2024)

Math

Question:

The quotient of a number and 2 is the same as the difference of the number doubled and 3. what is the number?

Algebraic Expressions

We have to translate this word problem into two algebraic expressions. Both these expressions will be equal to each other. This would allow us to form an equation that can be solved to find the required number.

Answer and Explanation:1

Become a Study.com member to unlock this answer!Createyouraccount

View this answer

Let the number be {eq}x{/eq}.

The quotient of {eq}x {/eq} and {eq}2 {/eq} will be {eq}\dfrac x2 {/eq}. The difference of the double of {eq}x{/eq} and...

See full answer below.

Become a member and unlock all StudyAnswers

Start today. Try it now

Create an account

Ask a question

Our experts can answer your tough homework and study questions.

Ask a question Ask a question

Search Answers

Learn more about this topic:

The quotient of a number and 2 is the same as the difference of the number doubled and 3. what is the number? | Homework.Study.com (1)

Get access to this video and our entire Q&A library

Try it now

Solving Problems Using Rational Equations

from

Chapter 11/ Lesson 8

11K

Rational equations are equations with fractions that are just numbers or have both numbers and letters. Explore the definition of rational equations, and the process of finding the solution that will solve these types of problems.

Related to this Question

  • If a certain number is doubled and then 5 is subtracted, the result is 9. What is the number?
  • The difference between two numbers is 72 and their quotient is 10 . What are those two numbers?
  • The quotient of 2 numbers is 2. Their difference is 5. What are the 2 numbers?
  • Three times a number, decreased by 4, is the same as double the difference of the number and 1. Find the number.
  • The quotient of a number and 2, decreased by 5, is equal to 35. Find the number.
  • The quotient of a number and 3 minus two is at least -12. What is the number?
  • The quotient of a number and -3 is 13. What is the number?
  • The quotient of two numbers is 4 and the difference between the two numbers is 6. Find the two numbers?
  • A number is divided by 3. Then, 5 is added to the quotient, and the result is 8. What is the number?
  • Solve algebraically. The quotient of a number and -9 increased by 10 is 11.
  • What number gets a result of -1 when 10 is subtracted from the quotient of the number and 4?
  • what number gives a result of -5 when 10 is subtracted from the quotient of the number and 4?
  • -20 times the difference between a number and 36 is equal to the number plus -45. What is the number?
  • 8 times the difference between a number and 6 is equal to 4 times the number. What is the number? a. 12 b. 4 c. 16 d. 48
  • A number is double of another number. If the difference between the number is twenty, find the number.
  • If you doubled a number, is that 100% increase?
  • Six divided by the difference of a number and 2, minus 5 divided by a number plus 2, equals 4 times the reciprocal of the difference of the number squared and 4. What is the number?
  • A number is doubled and then increased by seven. The result is ninety-three. What is the original number?
  • A number decreased by 30 is the same as 14 minus 3 times the number. What is the number?
  • If you double and then triple a number, this is the same as cutting the number in half. What is the number?
  • When a number in increased by 20%, the result is the same when it is decreased by 10% plus 12. What is the number?
  • If the quotient of a number and 15 is added to 1/5 the result is 17/15. Find the number.
  • What is a number increased by 20 is the same as two times the number decreased by 5?
  • When 7 times a number is decreased by 13, the answer is the same as when 5 times the number is increased by 5. What is the number?
  • Two times a number plus three times another number equals 4. Three times the first number plus four times the other number is 7. What is the difference between the numbers?
  • What are two pairs of numbers that have a quotient of 100?
  • Ten divided by the difference of a number and 2, minus 9 divided by a number plus 2, equals 9 times the reciprocal of the difference of the number squared and 4. What is the number?
  • When the number w is multiplied by 4, the result is the same as when 4 is added to w. What is the value of 3w?
  • One number is three times another number. When this one number is multiplied with another number and divided by 2, it is equal to 6. What is the one number?
  • A number is divided by 4, and then the quotient is added to 17. The result is 25. How do you find the number?
  • Twenty more than four times a number is equal to the difference between -71 and three times the number. Find the number.
  • Twenty-one more than three times a number is equal to the difference between 46 and twice the number. Find the number.
  • Ten divided by the difference of a number and 2, minus 9 divided by a number plus 2, equals 4 times the reciprocal of the difference of the number squared and 4. What is the number?
  • Two times a number is divided by 3 more than the number. If the result is 7, then what was the original number?
  • When 122 is decreased by five times a number, the result is equal to the number increased by 20. What is the number?
  • Negative one times the sum of twice a number and 3 is equal to two times the difference of 24 times the number and 3. what is the number?
  • The result when a number is divided by 2 is equal to the result when that same number is divided by 4. What is the number?
  • The result of a number divided by 2 is equal to the result when the same number is divided by 4. What is the number?
  • If the difference between 75% of a number and 60% of the same number is 82.5, then find 20% of the number.
  • The quotient of a number and three is four. What is the number? a) x=\frac{4}{3} b) x=\frac{3}{4} c) x=-12 d) x=12
  • 3 times a number decreased by 7 is equal to the number increased by 39. What is the number?
  • A number w increased by 6 is less than or equal to 17. What is the number?
  • What is the algebraic expression for the difference of a number and 8?
  • 11 less than twice a number is equal to the number. What is the number?
  • What is the difference between a number and 20 more than that number? (Use variable "x" to solve)
  • Nine times the difference of 5 and a number is equal to 180. What would be that number?
  • The sum of two numbers is 14. If one of the numbers is doubled the sum will become 22. What are the numbers?
  • -9 times the difference between a number and 63 is equal to the number plus 49 .Write the equation.
  • If 20% of 30% of a positive number is equal to 10% of k% of the same number, what is the number?
  • The quotient of a number and a number 15 is no greater than 450. What are the possible values of the number?
  • 28 decreased by 6 times a number is the same as the number. Find the number.
  • The difference between 2 numbers is 13. When the greater number is divided by the smaller, the quotient is 2 and the remainder is 5. What are the numbers?
  • Sixteen more than five times a number is equal to the difference between 115 and four times the number. Find the number.
  • What number multiplied by what other number equals 293?
  • How would you write if the sum of the number eight is doubled, the result is two less than the number in equation form?
  • The sum of a number and twice the number is 24. What is the number?
  • There is a number whose double is greater than its half by 33. What is the number?
  • If a number is divided by 4, then 3 is subtracted, the result is 0. What is the number?
  • If 4 times a certain number increased by 6 is equal to 94, what is the number?
  • When the quotient of a certain number and 6 is decreased by 14, the result is 4. Find the number.
  • The difference of two numbers is 83, and the smaller number is n . What is the other number?
  • The difference of two numbers is 55, and the smaller number is n. What is the other number?
  • The difference of two numbers is 28, and the smaller number is n. What is the other number?
  • The difference of two numbers is 66, and the smaller number is n. What is the other number?
  • Four times the sum of some number plus 5 is equal to 16 times the difference of the number and 1. Find the number.
  • When two numbers are multiplied, their product is 759; but when one is subtracted from the other, their difference is 10. What are these two numbers?
  • The number is greater than 15 and less than 40. If you double the number, it become a number that ends in 0 and is equal to 5. What is the number?
  • Five divided the difference of a number and 2, minus 4 divided by a number plus 2, equals 8 times the reciprocal of the difference of a number squared and 4, what is the number?
  • Five divided by the difference of a number and 2, minus 4 divided by a number plus 2 , equals 4 times the reciprocal of the difference of the number squared and 4. What is the number?
  • Write "twice a number is equal to six more than four times the number" as an equation.
  • The difference between two numbers is five. Three times the larger number is equal to four times the smaller number plus six. What are the two numbers?
  • A number is doubled and then decreased by seven. The result is fifty-one. What is the original number?
  • A number when multiplied by 3 and 17 added the result is the same as if 4 multiply the numbers and 10 deduct it. Find the number.
  • A number is doubled and then increased by seven. The result is fifty-three. What is the original number?
  • If four times a certain number, increased by 6 is equal to 94, what is the number?
  • When six times a number is decreased by 7, the result is 5. What is the number?
  • When three times a number is decreased by 6, the result is 9. What is the number?
  • The difference of x and a number is 6. What is the other number?
  • One number is 3 more than another if 4 times the larger is divided by the smaller the quotient is 2. Find the two numbers.
  • Four times the sum of 6 and a number is 6 increased by the same number. Find the number.
  • One-third equals the quotient of a number and 12. Find the number.
  • A number is multiplied by 4 and increased by 7. The result is 10 less than 3 times the number. Which equation will determine the number, x?
  • One more than 3 times a number is the same as 5 times the number decreased by 15. Find the number.
  • Six times a number minus twice the same number.
  • Which amount is larger and by how much? A positive number a or the same number a increased by 50% and then decreased by 50% of the result?
  • The difference of 9 times a number and 2 is 67. Which equation can be used to find the unknown number?
  • Three-fourths of a number equals 3 times the number increased by 9. What is the number?
  • When 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4. Find the number.
  • Express algebraically and solve. 2 times a number increased by 28 is less than or equal to 6 times that number.
  • When 4 times a number is subtracted from 7 times the number, the result is 30. What is the number?
  • Double a number, add 1 to the product, and you get 29. Write the equation and solve.
  • The denominator of a fraction is a fraction. If the fraction in the denominator is doubled and the numerator stays the same, what is the effect on the value of the fraction?
  • When 5 is divided by a number, the result is 3 more than 7 divided by twice the number. What is the number? (a) 1 (c) 1/2 (b) 2 (d) 5.
  • What is the mathematical form for twice the difference of 3 and a number 10?
  • Five less than 6 times a number is the same as the number plus 10. What is the number?
  • Five times a number is the same as 30 more than 8 times the number. a. Find the number. b. If n is "the number," what equation could be used to solve for the number?
  • Five times a number is the same as 30 more than 8 times the number. Find the number. If n is "the number," what equation could be used to solve for the number?
  • A number divided by 40 has a quotient of 6 with a remainder of 16. What is the number?
  • The ratio of ten more than three times a number to the square of the same number is equal to one. What is the number?
  • If 4 times a number is decreased by 9, the result is the same as when 1 is subtracted from 3 times the number. Find the number.

Explore our homework questions and answers library

Browseby subject

    • Math
    • Social Sciences
    • Science
    • Business
    • Humanities
    • History
    • Art and Design
    • Tech and Engineering
    • Health and Medicine

Ask a Question

To ask a site support question,click here

The quotient of a number and 2 is the same as the difference of the number doubled and 3. what is the number? | Homework.Study.com (2024)
Top Articles
Latest Posts
Article information

Author: Corie Satterfield

Last Updated:

Views: 5689

Rating: 4.1 / 5 (62 voted)

Reviews: 85% of readers found this page helpful

Author information

Name: Corie Satterfield

Birthday: 1992-08-19

Address: 850 Benjamin Bridge, Dickinsonchester, CO 68572-0542

Phone: +26813599986666

Job: Sales Manager

Hobby: Table tennis, Soapmaking, Flower arranging, amateur radio, Rock climbing, scrapbook, Horseback riding

Introduction: My name is Corie Satterfield, I am a fancy, perfect, spotless, quaint, fantastic, funny, lucky person who loves writing and wants to share my knowledge and understanding with you.