Question

The L.C.M. of two co-prime numbers is 48. The numbers are in the ratio 2 : 3. What is the sum of the numbers?

• A. 40

Answer 1

The correct option is A 40

Given the numbers are in ratio 2 : 3.
Let the numbers be 2x and 3x.

Then, their L.C.M. = 6x ( as they are co primes)

$\Rightarrow$ 6x = 48
$\Rightarrow$ x = 8

Therefore, the numbers are
$2x=16$
and
$3x=24$

$\therefore$ The required sum = (16 + 24) = 40