Question

the numerator of a fraction is 5 less than the denominator if 1 is added to both numerator and denominator it becomes 2 upon 3 find the fraction​

Answer 1

Answer:

x = 20

Step-by-step explanation:

let denominator = x

numerator = x - 5

Acc to que.

x-5+4/x+4

x-4/x+4= 2 /3

by cross product

3x - 12 = 2x +8

3x - 2x = 8 +12

x = 20

VERIFY ÷

20 -4 / 20 + 4 = 2 /3

16 / 24 = 2 /3

2/3 = 2/3

L.H.S = R.H.S

Answer 2

Step-by-step explanation:

let the denominator be x

hence numerator=x-5

therefore fraction becomes x-5/x

according to given condition

(x-5+1)/(x+1)=2/3

(x-4)/(x+1)=2/3

3(x-4)=2(x+1)

3x-12=2x+2

3x-2x=2+12

x=14

therefore numerator=x-5=14-5=9

therefore fraction=9/14.