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# A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

**Solution:**

Let the numbers be x and 5x.

Since x + 21 is smaller than 5x + 21, therefore according to the question,

21 + 5x = 2(x + 21)

21 + 5x = 2x + 42

Transposing 2x to LHS and 21 to RHS, we obtain

5x - 2x = 42 - 21

3x = 21

Dividing both sides by 3, we obtain

x = 7

First number is x = 7

Second number is 5x = 5 × 7 = 35

Hence, the numbers are 7 and 35 respectively.

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

**Video Solution:**

## A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.4 Question 2

**Summary:**

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. The two positive numbers are 7 and 35.

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