Question
LCM of two numbers is 56 times their HCF, with the sum
of their HCF and LCM being 1710. If one of the two numbers is 240, then what is the other number?Solution
Let, HCF = x and LCM = 56x So, x + 56x = 1710 ⇒ 57x = 1710 ⇒ x = 1710/57 = 30 Then, HCF = 30 and LCM = 30 × 56 = 1680 One number = 240 Let, another number = a Therefore, 30 × 1680 = 240 × a ⇒ a = (30 × 1680)/240 = 210 ∴ The other number is 210
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