Question

A fraction is such that when the denominator is increased by 1 it becomes 1 upon 2 when the numerator is increased by 2 it becomes 1 upon 3 find the fraction please answer​ please answer

Answer 1

Answer:

Let the initial fraction is x/y

If we increase numerator by 7 then the fraction becomes 1/2(given)

=>x+6/y=1/2

=>2x+12=y (equation 1)

If we increase denominator by7 then the fraction becomes 1/3(given)

=>x/y+7=1/3

=>3x=y+7

=>y=3x-7 (equation 2)

From eqn 1 and 2

2x+12=3x-7

=>x=5

Substitute x=5 in eq 1 we get value of y

2x+12=y

10+12=y

Y=22

Therefore the fraction is 5/22