Question

The sum of the squares of three numbers are in the ratio of 2:3:4 is 725.find out the numbers.

Answer 1

let the no.s be 2x, 3x and 4x
(2x)² +(3x)² +(4x)² = 725
4x² +9x² +16x² =725
29x² = 725
x² = 25
x =5
∴the no.s are 10, 15 and 20

Answer 2

let the no.s be 2x,3xand4x
(2x)^2+(3x)^2+(4x)^2=725
4x^2+9x^2+16x^2=725
29x^2=725
x^2=725/29
x^2=25
X=√25
X=5
if we put X value in 2x,3xand4x, we get
2(5),3(5),4(5)
Therefore the no.s are10,15,20