Question

The sum of the numerator and denominator of a fraction is 8. If 3 is added to both the numerator and the denominator, the fraction becomes 3by4 Find the fraction .​

Answer 1

Answer:

given sum of numerator and denominator =8 so let's consider numerator as x and denominator y.

b/c

x+y = 8.....(1) as given sum =8

now,

it tells the fraction will become 3/4 if 3 is added to the numerator and denominator so

b/c

x+3/y+3=3/4

or 4x+12=3y+9

or 4x-3y =-3.....(2)

now by substituting values of (1) and (2) we get y =5

and by putting value of y=5 in (1) we get x=3

Therefore the fraction is 3/5