Question

The denominator f a fraction is greater than its numerator by 11 if 8 is added to the numerator and denominator,it becomes 3÷4 find the fraction

Answer 1

Answer : Given :the denominator of a fraction is greater than its numerator by 11. if 8 is added to both its numerator & denominator, it becomes 3/4.

To find : the fraction.

Let x be the numerator and y be the denominator.

Hence the fraction is x/y.

Now accc to question,

the denominator of a fraction is greater than its numerator by 11.

=> y = x + 11........................................(1)

if 8 is added to both its numerator & denominator, it becomes 3/4.

=> ( (x+8) / ( y+8) ) = 3/4

=> 4x - 3y = -8 .....................................(2)

Now substituting y from eq (1) to eq (2) , we get

we get x = 25

y= x+ 11

=> y = 25+11 = 36

Therefore the fraction is = x/y = 25 /36

Answer : The required fraction is 25 / 36.