2. The denominator of a fraction is 1 more than twice
its numerator. If I is added to the numerator and
the denominator, the ratio of the numerator to the
denominator is 1:2. Find the fraction.
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Answer:
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
.
hope it helps you
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