Question

The numerator of a fraction is 3 less than the denominator if 2 is added in the denominator and numerator is decreased by 5 the fraction becomes 28/33

Answer 1

let the denominator of a fraction be x

∴numerator of a fraction will be [ x-3]

∴ the fraction will be [ x-3] /x

ATP

if 2 is added in the denominator and 5 is subtracted from the numerato we get

⇒  [x-3-5] /x+2 =28/33

⇒ [x- 8] /x+2 =28/33

⇒33 *[x-8]  =[x+2 ]*28

⇒33x-264 =28x+56

⇒5x =320

⇒x =64 .....................................denominator of a fraction

⇒ [ x-3] =[64-3]=61 .......................numerator of a fraction

∴ the fraction is  61/64 ANS

Answer 2

let the denominator  be x

∴numerator will become [ x-3]

∴ the fraction =  x-3 /x

BTQ

2 is added in the denominator and 5 is decreased in numerato

or   x-3-5 /x+2 =28/33  

or   x- 8 /x+2 =28/33

or  33 *[x-8]  =[x+2 ]*28

or  33x-264 =28x+56

or x =64   is denominator

or  [ x-3] =[64-3]=61 is numerator

-> the fraction is  61/64 ans