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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. The fraction is:

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35

15

25

45

answer is A.

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Detailed Solution

Given, a fraction reduces to 1 if we add 1 to the numerator and subtract 1 from the denominator. It becomes

12

if we add 1 to the denominator.
Assume fraction =

x y

.
According to the question,

x + 1 y − 1 = 1 x + 1 = 1 y − 1 x + 1 = y − 1 x − y = − 1 − 1

x – y = -2
Other equation is,

x y + 1 = 12 2 x = 1 y + 1 2 x = y + 1

2x – y = 1
Using elimination method,
(2x - y) - (x - y) = (1 - (-2))
2x – y – x + y = 1 + 2
x = 1 + 2
x = 3
Now, the value of y is,
3 – y = - 2
y = - 2 - 3
-y = - 5
y = 5
Fraction =

x y = 35

.
The fraction is

35

.
Hence, option 1 is correct.

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