The LCM of two numbers a and b is 204 times of their HCF. If their HCF is 12 and the difference between the numbers is 60, then a + b = ?
Answer & explanation
Correct answer: option 3
HCF = 12 (Given) then,
12a - 12b = 60
12(a - b) = 60
a - b = 5
= \(\frac{204}{12}\) = 17
a = 17
b = 17 - 5 = 12
a ⇒ 17 × 12 = 204
b ⇒ 12 × 12 = 244
∴ a + b = 204 + 244 = 348