## Question

`Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?`

`Two numbers are in the ratio 2 : 3. If their L.C.M. is 48. what is sum of the numbers?`

A. 28

B. 64

C. 42

D. 40

**Answer: D. 40**

**Solution:**

Let the numbers be 2x and 3x

LCM of 2x and 3x = 6x (∵ LCM of 2 and 3 is 6. Hence LCM of 2x and 3x is 6x )

Given that LCM of 2 x and 3 x is 48

=> 6x = 48

=> x = 48 / 6

= 8

Sum of the numbers = 2x + 3x

= 5x

= 5 × 8

= **40**

**Hence, The answer is 40.**