Question

The sum of the squares of three numbers which are in the ratio 2:3:4 is 725. Find numbers.​

Answer 1

let the nos. be 2x,3x and 4x

(2x)^2+(3x)^2+(4x)^2= 725

4x^2+9x^2+16x^2= 725

29x^2= 725

x^2= 725/29

= 25

x = 5. (ans)

Answer 2

let the numbers be 2x,3x,4x (2x)^+(3x)^+(4x)^=725. 4x^+9x^+16x^=725. 29x^=725. x^=25. X=5. 2*5=10,3*5=15,4*5=20