Question

The sum of numerator and denominator of a fraction is 8. if 3 is added both to numerator and the denominator then the fraction becomes 3/4 find the fraction

Answer 1

Let the numerator be x and the denominator be y.
So
x+y = 8......1st equation
&
x+3/y+3 = 3/4
4x + 12 = 3y+9
4x - 3y = -3.....2nd equation

Now multiplying the first equation by 4
we get
4x + 4y = 32.....3rd equation

Now solving the 2nd and the 3rd equation
we get x = 3 & y = 5.

So the numerator is 3 & the denominator is 5.
So the fraction
= x/y
= 3/5.

hope this helps....