Question

A numerator of a fraction is more by 5 then the denominator . if 3 is added to both the numerator as well as denominator the ratio becomes 2:1 then find the original fraction​

Answer 1

Answer:

let numerator be x and denominator be y so that fraction originally is x/y

numerator = 5 + denominator

x=5 + y

x-y = 5 ---(1)

3 is added to both numerator and denominator the ratio is 2:1

x+3 / y+3 = 2/1

x+3 = 2y +6

x-2y = 3 --(2)

on solving (1) and (2)

y=2

and x = 7

original fraction is 7/2

Answer 2

Step-by-step explanation:

Let the denominator be x

Fraction=

x

x−5

x+3

x−5+3

=

5

4

x+3

x−2

=

5

4

5(x−2)=4(x+3)

5x−4x=12+10

x=22

So, numerator=x−5=22−5=17

and denominator=22

So, the original fraction=

22

17