The denominator of a fraction is 3 more than the numerator. If 5 is added to both parts, the resulting fraction is equivalent to 4/5 . Find the fraction.

Question

This is question from 8th class book chapter Linear Equations

Answer 1

Let x = the numerator

Let x + 3 = the denominator

(x + 5)/(x + 8) = 4/5         Cross multiply

5x + 25 = 4x + 32

x = 7

x + 3 = 10

7/10

 

Answer 2

Fraction: x/y

y=x+3

(x+5)/(y+5)=4/5

5(x+5)=4(y+5)

5(x+5)=4(x+5+3)

x+5=12

x=7

y=10

 

x/y=7/10

12/15=4/5