Question

Three numbers are in the ratio 2:3:5. The sum of their squares is 1368. Find the numbers

Answer 1

Let it be 2x, 3x and 5x

4x^2+9x^2+25x^2=1368
38x^2=1368
x^2=1368/38
x^2=36
therefore x=square root of 36 which is 6
therefore the no.s are 2*6, 3*6 and 5*6
which is 12, 18 and 30

Hope it helps!!