Question

Ratio of two number is 4 ratio 5 is the difference of their squares is 225 then find the numbers

Answer 1

✔✔ Answer ✔✔

⏺ Let the numbers be 4x and 5x

⭕ ATQ,

(5x)^2 - (4x)^2 = 225
25x^2 - 16x^2 = 225
9x^2 = 225
x^2 = 225/9
x^2 = 25
x^2 = (5)^2
x = 5

$\textbf{\huge{x\: =\: 5}}$

⏺ Numbers are ✒ 4x ✒ 4 * 5 ✒ 20
✒ 5x ✒ 5 * 5 ✒ 25


Verification :-

(25)^2 - (20)^2 = 225
625 - 400 = 225
225 = 225

Hence, verified