Question

A positive number is 5 time another number. If 21 is added to both the numbers, then one of the new numbers become twice of other new numbers. Find the original numbers.

Answer 1

Answer:

Let the smaller number be x

And another number = 5x

If 21 is added to both the numbers then as per the given condition;

5x+21 = 2×(x+21)

5x + 21 = 2x + 42

5x – 2x = 42 – 21

3x =. 21

x = 21/3= 7

Therefore, the positive number is = 5×7 = 35

Hence, Original numbers are 7 and 35.

Answer 2

Answer:

let the first number be x

other number = 5x

then after 21 adding to both

first number = x+21

other number= 5x+21

according to the question

(x+21)2= 5x+21

2x+42=5x+21

42-21=5x-2x

21=3x

21/3=x

x =7

so the numbers are

first number =7

other number =5x= 5×7=35