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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+1y−1=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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