What is The Smaller Number

The difference of two numbers is 1365. On dividing the large number by the smaller, we get 6 as quotient and the 15 as remainder What is the smaller number?

  1. 270
  2. 290
  3. 230
  4. 255
Anurag Mishra Professor Asked on 24th September 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) 270

    Explanation:-
    Let the two numbers be X and Y

    The difference two numbers = 1365
    Then, X – Y = 1365      ……………. (1)

    On dividing the larger number by the edupil smaller number, we get 6 as quotient and the 15 as remainder.
    Then, X = 6 Y + 15
    X = 6 Y + 15
    X – 6 Y = 15 ……………. (2)
    Equation (2) is subtracted from equation (1),
    Then, X – X – Y + 6 Y = 1365 – 15
    5 Y = 1350
    Y = 1350/5
    Y = 270

    Put the value of Y = 270 in equation (1),
    X – 270 = 1350
    X = 1350 + 270
    X = 1620

    Then, the smaller number is Y = 270.

    Hence, the answer is (1) 270.

    Anurag Mishra Professor Answered on 24th September 2015.
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