The denominator of a fraction is greater than its numerator by 12.If the numerator is decreased by 2 and the denominator is increased by 7, the new fraction is equivalent with 1/2. Find the fraction.
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Answer:
23/35
Step-by-step explanation:
Let say Numerator = N
Then Denominator = N + 12
Fraction = N/(N + 12)
Numerator decreased by 2 = N -2
Denominator increased by 7 = N + 12 + 7 = N + 19
(N-2)/(N + 19) = 1/2
=> 2N - 4 = N + 19
=> N = 23
Fraction = N/(N + 12) = 23/35
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