Question

if the numerator of a fraction is increase by one, its value becomes 3/4.if its denominator increased by 2 its value become 1/2 .find the fraction ​

Answer 1

Secondary School

please don't forget to mark my answer as a brainalist please

Let the fraction be x/y

when numerator is increased by 1 so the fraction will be

(x+1) / y = 3/4

solving the equation

4x+4=3y --------(1)


when denominator is increased by 1 so the fraction will be

x/(y+2) = 1/2

2x=y+2

x = (y+2) / 2 ------(2)


putting value of x in equation 1

4(y+2)/2 + 4 = 3y

2y + 4 + 4 = 3y

y = 8


putting value of y in equation 1


4x+4=3y

4x + 4 = 3 * 8

4x + 4 = 24

4x = 20

x = 5


so the fraction is 5/8