Question

tow number are in the ratio 2:3. If their LCM is 48 what is sum of the number?

a) 28
b) 40
c) 64
d) 42​

Answer 1

two numbers are 2x and 3y
now x=48/2=24
y=48/3=16
therefore 24+16=40

Answer 2

Answer:

Option : B =40 ✔️✔️✔️

EXPLANATION :

let the no.s be 2x & 3x

L. C. M of 2x & 3x= 6x ✔️

(lcm of 2 & 3 = 6. hence LCM of 2x & 3x = 6x)

Given that LCM of 2x & 3x is 48

=>6x = 48

=>x=48/6 =8

Sum of the numbers = 2x + 3x = 5x = 5 × 8 = 40✔️