Question

three numbers are in the ratio of 3 : 2 : 5 and the sum of their squares is 1862. what are the three numbers?

Answer 1

Suppose three numbers are 3x, 2x, 5x

sum of their square ;

9$x^{2} + 4x^{2} + 25x^{2}$ = 1862

38$x^{2}$ = 1862

$x^{2} = 49$

take square root both the side

x = 7

Three numbers are:

21, 14, 35