In a fraction, if 4 is added to the numerator and 2 is subtracted from the denominator, the fraction becomes 2. The denominator of fraction is 1 more than twice the numerator. Find the fraction.
Answers
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Given :
In a fraction, if 4 is added to the numerator and 2 is subtracted from the denominator, the fraction becomes 2.
The denominator of fraction is 1 more than twice the numerator
To Find : the fraction.
Solution:
the fraction. = p/q
p = numerator
q = denominator
The denominator of fraction is 1 more than twice the numerator
=> q = 2p + 1
the fraction. = p/(2p + 1)
4 is added to the numerator and 2 is subtracted from the denominator, the fraction becomes 2.
=> ( p + 4) / (2p + 1 - 2) = 2
=> (p + 4)/(2p - 1) = 2
=> p + 4 = 4p - 2
=> 3p = 6
=> p = 2
2 = 2p + 1 = 2 (2) + 1 = 5
Fraction = p/q = 2/5
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