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Discussion :: Problems on H.C.F and L.C.M

  1. If the HCF of two numbers is 27, and their sum is 216, find these numbers.

    2. A.
    27, 189
    B.
    154, 162
    C.
    108, 108
    D.
    81, 189

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    Answer : Option A

    Explanation :

    Let the numbers be 27x and 27y.

    Then, 27x + 27y = 216
    27 (x+ y) = 216
    (x + y) = 216/27
    X + y = 8

    co-prime numbers with sum 8 are (1, 7) and (3, 5).

    Therefore we can say that the required numbers are (27 x1, 27 x 7) and (27 x 3, 27x 5), i.e. (27, 189) and (81, 135).
    Out of the above two answers, the given one in the answer is the pair (27, 189).

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