What will be the Sum of Numerator and Denominator of the Fration? If

If 1 is added to a denominator of a fraction, the fraction becomes 1/2. If 1 is added to the numerator, the fraction becomes 1. The sum of numerator and denominator of the fraction is

  1. 11
  2. 14
  3. 21
  4. 5
Monis Rasool Professor Asked on 15th September 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 5

    Explanation:-
    Let the fraction be X/Y.
    If 1 added to denominator,
    Then, X/(Y + 1) = 1/2
    2 X = Y + 1
    2 X – Y = 1  ……………………….. (1)

    If 1 added to numerator,
    Then, (X + 1)/Y = 1
    X + 1 = Y
    X – Y = – 1 ……………………….  (2)
    Equation (2) subtracted from (1),
    2 X – Y  – X  + Y = 1 + 1
    X = 2,
    Put the value of X = 2 in equation (1),
    2 x 2 – Y = 1
    4 – Y = 1
    – Y = 1 – 4
    Y = 3
    Then, the fraction is X/Y = 2/3
    Then, the sum of numerator an denominator = 2 + 3 = 5.

    Hence, the answer is (4) 5.

    Anurag Mishra Professor Answered on 15th September 2015.
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