Question

the sum of the numerator and denominator of a fraction is 83 added to both the numerator and denominator the fraction becomes 3 by 4 find the fraction​

Answer 1

Answer:

Step-by-step explanation:

let the numerator and denominator be "x" and "y"

they have given that the sum of the numerator and denominator is 8

so x + y = 8.....................(1)

the condition 2

fraction = x/y

the  3 is added to the fraction becomes 3/4

x + 3 / y + 3 = 3/4

4(x+ 3) = 3(3 + y )

4x + 12 = 9 + 3y

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

now solve it

(1) x 4 = 4x + 4y = 32

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

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                      7y = 35

                        y = 5

now sub in 1

x + 5 = 8

x =  3

so the fraction is 3/5