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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 = ? |
660 426 348 852 |
348 |
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 |
