Question

the denominator of a fraction is 3 more than the numerator if 5 is added to both but the resulting fraction is equal to 4/5find the fraction

Answer 1

Let fraction be x/y

So, y=x+3 and (x+5)/(y+5) = 4/5

⇒ (x+5)/(x+8) = 4/5

⇒ 5*(x+5) = 4*(x+8)

⇒ 5x + 25 = 4x + 32

⇒ x = 7

⇒ fraction is  7/10

Answer 2

x/x+3

x+5/x+8 = 4/5

5x+25=4x+32

5x-4x=-25+32

x=7

The original fraction = 7/10