The LCM of two numbers x & y is 204 times their HCF. If their HCF is 12 and the difference between the numbers is 60, then x + y = ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 348.
x = 12a , y = 12b
LCM(x, y) = 12ab
⇒ 12ab = 204(12)
⇒ ab = 204
⇒ 12a - 12b = 60
⇒ 12(a - b) = 60
⇒ a - b = 5
a = 17, b = 12
⇒ x + y = 12(17) + 12(12) = 204 + 144 = 348