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    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?

    A 210 Correct Answer Incorrect Answer
    B 171 Correct Answer Incorrect Answer
    C 57 Correct Answer Incorrect Answer
    D 1680 Correct Answer Incorrect Answer

    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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