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Question

If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes 12 if we only add 1 to the denominator. What is the fraction?


A

25

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B

35

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C

14

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D

None of the above

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Solution

The correct option is B

35


Let the fraction be xy
According to the question, x+1y1=1
x - y = -2 ... (i)
xy+1=12
2x - y = 1 ... (ii)
Subtracting equation (i) from equation (ii), we get
x = 3 ... (iii)
Putting this value in equation (i), we get
3 - y = -2
-y = -5
y = 5
Hence, the fraction is 35.


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