1
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Question

# If we add 1 to the numerator and subtract 1 from the denominator a fraction becomes 1. It also becomes 12 if we only add 1 to the denominator what is the numerator of the fraction?

A
2
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B
4
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C
5
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D
3
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Solution

## The correct option is D 3Suppose the fraction is xyIf 1 is added to the numerator and 1 is subtracted to the denominator the fraction becomes 1x+1y−1=1x+1=y−1x−y=−2 Equation (1)If 1 is added to the denominator the fraction becomes halfxy+1=122x=y+12x−y=1 Equation (2)On subtracting Equation 1 from 2 we get2x−y−x+y=1+2x=3Substituting the value of x in equation 1 we get,3−y=−2y=5xy=35Numerator is 3.

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