Question

The denominator of a fraction is 3 more than the numerator. If the numerator as well as the denominator is increased by 4, the fraction becomes 4/5. What was the original fraction.

Answer 1

Let the numerator=x

Let the denominator=x+3

According to statement

x/x+3+4=4/5

x/x+7=4/5

5x=4(x+7) (cross multiplication)

5x=4x+28

5x-4x=28

x=28

Answer 2

Let the numerator be 'x'

and the denominator be x + 3

case (i). x/x+3+4=4/5
x /x+7 = 4/5
5x= 4 (x+7)
5x - 4x = 28
x = 28
now the fraction will be
(x)
________
(x+3)


28
_________

28+3



28
______

31



hope it willl help you ......