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Both the numerator and the denominator of 3/4 are increased by a positive integer, x, and those of 15/17 are decreased by the same integer. This operation results in the same value for both the fractions. What is the value of x?
- 1
- 2
- 3
- 4
Correct answer: 3
Solution
(3+x)(17-x) = (15-x)(4+x) gives 51+14x-x^2 = 60+11x-x^2, so 3x = 9 and x = 3. The stored answer 2 is incorrect.
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