elimination method. find fraction

Question

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

Answer 1

Hello Shiva,

Let the numerator be 'n' and the denominator be 'd'.

Then n-1 = 0.5(d+2) based on the first hint and n = (1/3)(d-7)

Solve these to get n = -11 and d= -26.

Pradip