Question

The denominators of a fraction is 1 more than twice of its numerator. if 2 is added to the denominator, the fraction becomes 1/3 . find the fraction

Answer 1

Step-by-step explanation:

We have,

Let the fraction

y

x

So, Numerator =y

Denominator=x

Then, According to given question,

y=2x+1

y−2x=1......(1)

So,

According to second condition,

y+1

x+1

=

2

1

⇒2x+2=y+1

⇒2x−y=−1......(2)

Solve from (1) and (2) to, and we get,

x=4andy=9

The fraction is

y

x

=

9

4

.