Question

The sum of the numerator and denominator of a fraction is 3 less than twice the
denominator. If the numerator and denominator are decreased by 1, the numerator
becomes half the denominator. Determine the fraction.
​

Answer 1

Step-by-step explanation:

let numerator =x

denominator =y

x+y=2y-3

y-x=3.......................(1)

x-1/y-1=x/x/2

x-1/y-1=2

x-1=2y-2

2y-x=1.......................(2)

from eq (1) , (2) we get

x=7, y=4

so the fraction is 7/4

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