Question

The ratio of two numbers is 2 : 3 and their L.C.M. is 612. Find the sum of the numbers.

Answer 1

Let the numbers be 2 and 3.
L.C.M. = 6, Sum = 5
Now, $\stackrel{6}{(L.C.M.)}:\stackrel{5}{\left(Sum\right)}=\stackrel{612}{(L.C.M.)}:\stackrel{Sum}{\left(Let\right)}$
$\therefore Sum=\frac{5\times 612}{6}=510$