Question

The ratio of two positive numbers is 3/5. And the difference of square of both the numbers is 400. Find the numbers. I have solved this question and got the answers as 15 and 25 respectively. But i think the way i have solved this is wrong somewhere. Please write the correct way to solve this question.

Answer 1

ratio of two numbers =3/5

let first number = 3x
second number =5x
difference of squares of it =400
(5x)²-(3x)²=400
25x²-9x²=400
16x²=400
x²=400/16
x²= 25
x= 5 or -5
take only positive number

required numbers are
if x= 5
first number = 3x =3*5 =15
second number = 5x= 5*5 =25