Find the Larger of the Two Numbers :

The H.C.F and L.C.M of two numbers are 21 and 84 respectively. If the ratio of the two number is 1:4, then the larger of the two numbers is

  1. 84
  2. 12
  3. 108
  4. 48
Anurag Mishra Professor Asked on 26th October 2015 in Maths.
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  • 1 Answer(s)

    Answer is (1): 84

    Explanation:-

    The H.C.F. and L.C.M of two numbers = 21 and 84
    The ratio of two numbers = 1: 4
    Let the two numbers be = X and 4 X

    Then, X x 4 X = 21 x 84
     4 X^2 = 1764
    X^2 = 1764/4
    X^2 = 441
    square root on both side,
    X = 21

    Then, the large number = 4 X = 4 x 21 = 84

    Hence, the answer is (1) 84.

    Monis Rasool Professor Answered on 28th October 2015.
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