Question

A POSITIVE NO. IS 5 TIME ANOTHER NUMBER .IF 24 IS ADDED TO BOTH THE NO. ONE OF THE NEW NO. BECOMES TWICE THE OTHER NEW NO. FIND THE NO.

Answer 1

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?

Explanation:

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.