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Question

If we add 1 to the numerator and subtract 1 from the denominators a fraction reduce to 1. It becomes 12 if we only add 1 to the denominators . what is the fraction?

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Solution

The first statement leads to,
n+1d1=1
or
n+1=d1nd=2...(i)
The second statement leads to,
nd+1=12
which gives,
2n=d+1..(ii)
Solving the above two equations simultaneously,
n=3,d=5
Hence the fraction is 35

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