Question

If the numerator of a fraction is increased by 2 and denominator is decreased by 1, it becomes 2/3. If the numerator is increased by 1 and denominator is increased
by 2, it becomes 1/3. Find the fraction.​

Answer 1

Answer:

1/2

Step-by-step explanation:

Answer 2

Answer:

Let the fraction be x/y

case 1

x+2/y-1=2/3

=3(x+2)=2(y-1)

=3x+6=2y-2

=3x=2y-8

=x=2y-8/3-----------(1)

 case 2

x+1/y+2=1/3

=3(x+1)=y+2

=3x+3=y+2

=3*2y-8/3+3=y+2-----------------(from 1)

=2y-8+3=y+2

=2y-y=2+5

Therefore y=7

x=14-8/3--------------------(from 1)

 =6/3

 =2

The original fraction=x/y=2/7

Hope it helps!!!