Question

The denominator of a fraction is 1 more than twice its numerator. If 1 is added to
numerator and denominator respectively, the ratio of numerator to denominator is 1:2.​

Answer 1

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

.