Question

the numerator of a rational number is less than its denominatior by 4. if the number is multiplied by 2 and the denominator is increased by 4,the number becomes 14/15.find the number

Answer 1

let the denominator be x
then, (x-4/x+4)2=14/15
(x-4/x+4)=14/15×1/2=14/30
30x-120=14x+56
30x-14x=56+120
16x=176
x=11
and the fraction is 7/11