Question

Find the fraction, that becomes 12 when 2 is added to its numerator and become when 1 is subtracted from its denominator.​

Answer 1

There is no possible fraction that satisfies both of  these cases.

1) Let the original fraction be x/y.

2) According to the first statement, when 2 is added to numerator, fraction becomes 12.

i.e (x+2)/y = 12 or x+2 = 12y

3) According to the first statement, when 1 is subtracted from denominator, fraction becomes 1.

i.e. x/(y-1) = 1 or x = y-1

4) Solving these two equations, gives x = -10/ 11 and y = 1/11

5) Since, both the x and y came out to be fractions, hence there is no possible fraction that satisfies these cases.