Question

If the ratio of two numbers is $5:3$ and their L.C.M. is $75$, then the sum of their squares is

Answer 1

Let the numbers be $5x,3x$ respectively.
Then their LC.M. will be $15x.$
$\Rightarrow 15x=75$
$\Rightarrow x=5$
Numbers are $25,15$
Sum of squares is $625+225=850$