In a given fraction, if 1 is subtracted from the numerator and 2 is added 1 to the denominator, it becomes 1/2 . If 7 is subtracted from the numerator and 2 is subtracted from the denominator, it becomes 1/3. The fraction is

Question

Philoid · Accepted Answer

Let the fraction be

According to the question,

2x – 2 = y + 2

y = 2x – 4 …(i)

And,

3x – 21 = y – 2

3x = y + 19 …(ii)

Using (i) in (ii)

3x = 2x – 4 + 19

X = 15

Using value of x in (i), we get

y = 2 (15) – 4

y = 30 – 4

y = 26

Therefore, required fraction =

Hence, option B is correct