# A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12. What is the number?

**Solution:**

Let's form a linear equation for the given problem statement.

Let the rational number be x.

Multiply x by 5/2 and add 2/3 to it to get the result as -7/12.

5x/2 + 2/3 = -7/12

Multiply by 12 on both sides to get rid of denominator

5x × 6 + 2 × 4 = -7

30x + 8 = -7

30x = -15

x = -15/30 = -1/2

Thus, the number is -1/2

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 2

**Video Solution:**

## A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12. What is the number?

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 13

**Summary:**

A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12. The number is -1/2.

**☛ Related Questions:**

- Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
- The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?
- The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?
- Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?
- Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?

Math worksheets and

visual curriculum

visual curriculum