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When the numerator and the denominator of a fraction are increased by 1 and 2 respectively, the fraction becomes `(2)/(3)`, and when the numerator and the denominator of the same fraction are increased by 2 and 3 respectively, the fraction becomes `(5)/(7)`.What is the original fraction ?A. `(5)/(6)`B. `(3)/(4)`C. `(3)/(5)`D. `(6)/(7)` |
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Answer» Correct Answer - B `(x+1)/(y+2)=(2)/(3)rArr 3x -2y=1` `(x+2)/(y+3)=(5)/(7)rArr 7x-5y=1` or, `3x-2y=7x-5yrArr 3y=4xrArr (x)/(y)=(3)/(4)` |
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