Question

The LCM of two numbers X and Y is 204 times its HCF if their HCF is 12 and the difference between the numbers is 60 then X + Y =

• A. 660
• B. 426
• C. 852
• D. 348

Answer 1

Answer:

D. 348

LCM = 204HCF HCF = 12 X - Y = 60 we have to find X + Y X - Y = HCF[a + b] X + Y = HCF[a - b] LCM = 204HCF = ab × HCF ab = 204 X - Y = 60 60 = HCF[a - b] 60 = 12[a - b] a - b = 5 a + b = 29 X + Y = HCF[a + b] = 12 × 29 = 348