Question

the sum of the numerator and denominator of a fraction is 8. if three is added to both of the numerator and denominator ,the fraction becomes 3/4. find the fraction

Answer 1

let the numerator be x

so denominator will be (8-x)

if 3 is added to both

new denominator = 11-x

new numerator = x +3

(x+3)/(11-x) = 3/4

4x+12 = 33-3x

7x= 21

x= 3

so the original fraction is 3/5.

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