Question

15. The denominator of a fraction is 4 more than
the numerator. If I is added to the numerator
and 2 is added to the denominator, the value
of the fraction becomes 4/5 Find the original
fraction.​

Answer 1

Answer:

19/23

Step-by-step explanation:

suppose numerator is x. then denominator is x+4

(x+1)/(x+4+2)=4/5

or (x+1)/(x+6)=4/5

5x+5=4x+24

or x=19.

hence fraction is 19/23

Answer 2

Step-by-step explanation:

let, the numerator of a fraction be y and denominator be x.

y/x is a fracation.

according to first condition,

x=y+4

x-y=4

new numerator=(y+1)

new denominator=(x+2)

according to second condition,

y+1/x+2=4/5

5(y+1)=4(X+2)

5y+5=4x+8

4x-5y=5-8

4x-5y=-3

x-y=4

multiply by 4 on both sides

4x-4y=16

4x-4y=16

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4x-5y=-3

=y=19

substitute y=19 in 4x-5y=-3

4x-5*19=-3

4x-95=-3

4x=-3+95

4x=92

x=92/4

x=23

Ans =y=19 and X=23

fraction is y/x= 19/23.

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