The denominator of a fraction is 1 more than double the numerator. On adding 2 to the numerator and subtracting 3 from the denominator the result is 1. Find the original fraction.
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Answer: Let numerator be x.
Accoriding to condition 1: x/2x + 1 __ (I)
Condition 2: x + 2/ (2x + 1) - 3 = 1
∴ x + 2/ 2x + 1 - 3 = 1
∴ x + 2/ 2x -2 = 1
∴ x + 2 = 2x - 2
∴ 2x - x = 2 + 2
∴ x = 4
∴The numerator is 4 and denominator is (2 x 4) + 1= 9
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