Two numbers X and Y are in the ratio 8 : 13. The LCM of these two numbers is 832. How much is the value of Y more than X?

Correct option is A

Given:

Ratio of X : Y = 8 : 13

LCM of X and Y = 832

Formula Used:

LCM = $$\frac{\text{Product of numbers}} { HCF}$$​​

Solution:

Let X = 8k and Y = 13k.

Then LCM of X and Y = LCM(8k, 13k) = (8 × 13 × k) = 104k

Given that LCM = 832, equating:

104k = 832

k = 8

X = 8k = 8 × 8 = 64

Y = 13k = 13 × 8 = 104

Difference = Y - X = 104 - 64 = 40