Question

A positive number is 5 times another number if 21 is added to both the numbers then the one number becomes twice the other new number what are the numbers

Answer 1

Let the smaller number be x.
Then the larger number is 5x.
Let us add 21 to both numbers.
The new numbers are x+21 and 5x+21.
So we have 5x+21= twice x+21
or 5x+21= 2(x+21)
5x+21= 2x+42
5x-2x= 42-21
3x = 21
x = 7
So the other number is 5x or 35
So the numbers are 7 and 35
Answer: 7 and 35