Question

lf the numerator of a fraction is multiplied by 2 and its denominator is increased by 1 it becomes 1 however if the numerator is increased by 4 and denominator is multiplied by 2 the fraction becomes 1/2 find the fraction

Answer 1

let numerator be x
let denominator be y
So (x+4)÷(y×2)=1/2 and (x×2)÷ (y+1)=1
so by simplifying 1st eq. x+4=y will come as 2,2 is cutted and y is sent that side
now by simplifying 2nd eq. 2x=y+1 will come
y is equal to x+4 so 2x=x+4+1=5 so x=5 and y= x+4 so 5+4=9
SO THE FRACTION IS 5/9