Question

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. The sum of the numbers is ___.

• A. 28
• B. 32
• C. 40
• D. 64
• E. 56

Answer 1

The correct option is C

40

Let the numbers be $2x$ and $3x$. Then, their L.C.M. = $6x$.
So, $6x=48$ or $x=8$.

$\therefore$The numbers are 16 and 24. Hence, required sum $=(16+24)=40$.