Question

The numerator of a fraction is 5 less than the denominator. If 3 is added to the numerator, the fraction is equal to 2/3. Explain with working.

Answer 1

let x and y are nominator and denominator respectively .

a/c to question ,
y-x=5 ==========(1)

again ,
(x+3)/y=2/3

3(x+3)=2y

3x+9=2y

3x-2y+9=0 ===============(2)

solve equations (1) and (2)
x=1 and y=6
hence ,
fraction =1/6

Answer 2

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