Question

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

Answer 1

Answer:

15 by 26

Step-by-step explanation:

Let its numerator be x

So the denominator = x + 11

After adding 8 to both we get numerator = x + 8

                                                  denominator = x + 11 +8 =x + 19

which is equal to 3 by 4

So we can say that ;

x+8 by x+19 = 3 by 4

: 4(x+8)  = 3(x+19)

= 4x + 32 = 3x + 57

= 4x - 3x = 57 - 32

= x = 15

So, x = 15

     x + 11 = 26

Answer 2

Answer:

Step-by-step explanation:

let the numerator of the fraction be x

denominator = x+11

fraction= x/x+11

A.T.Q

=x+8/x+11+8

=x+8/x+19= 3/4

= 4(x+8)=3(x+19)

= 4x+32=3x+57

= 4x-3x=57-32

= x=25

= numerator = x = 25

= denominator = x+11 = 25+11 = 36

Hence, required fraction = 25/36