Question

The H.C.F. of two numbers whose ratio is $2:5$ is $16$. Find the sum of the numbers.

Answer 1

Since the numbers are in the ratio $2:5$ so, let the numbers be $2x$ and $5x$.

Thus, the H.C.F. of the two numbers $=x$.

But the H.C.F is given as $16$.

So, $x=16$.

So, the numbers are,

$2x=2\times 16=32$

And

$5x=5\times 16=80$

The sum of the numbers is $32+80=112$

Hence, the sum of the numbers is $112$.