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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