Question

Sum
of the


numerator
and the denominator is 8
& If 2 is added
to both the numerator and the denominator the fraction
Encreases
by 4/35 find the fraction
​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

-3/11

Step-by-step explanation:

let the numerator be x and denominator be 8-x, so that x+8-x=8

when two is added, the fraction will be, (x+2)/(10-x)

now the fraction increased by 4/35.

so,

(x+2)/(10-x) - (x/(8-x)) =4/35

cross multiply it, and we will get a fraction by simplifying what we have cross multuplied like this,

(16-4x) / (x^2-18x+80)=4/35

again cross multiply it.,and by simplifying we get,

x^2-17x-60=0,which is a quadratic equation.

by solving the quadratic equation, we get

x=20,-3

by solving,we get the answer as x=-3

our needed fraction is x/8-x.applying -3in x, we get the fraction -3/11. ,which is our answer...

hope this is helpful...