Question

the dinominator of a fraction is 15 times the numerator. if 2 is added to the numerator and subtracted from denominator , then the fraction reduces to 1 find the original fraction​

Answer 1

Answer:

x/x+15

x+2/x-2=1

x+2/x+15-2=1

Answer 2

Answer:

Let the numerator be x and the denominator be y.

From the given information, we have,

y

x+2

=

2

1

and

y−1

x

=

3

1

or,

y

x+2

=

2

1

=>2(x+2)=y

=>y=2x+4....(i)

Also,

y−1

x

=

3

1

=>3x=y−1....(ii)

Using substitution method,

Substituting equation (i) in equation (ii), we get,

3x=2x+4−1

=>x=3

Substituting x=3 in equation (i), we get,

y=2x+4

=>y=2(3)+4

=>y=6+4

=>y=10

Thus, the original fraction is

y

x

=

10

3