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Problem 20 - Entrance Test

A fraction becomes 1/2 when 1 is subtracted from numerator and 1/3 when 2 is added to denominator. Find the fraction. / एक भिन्न अंश से 1 घटाने पर 1/2 हो जाती है और हर में 2 जोड़ने पर 1/3 हो जाती है। भिन्न ज्ञात कीजिए।

Correct: D

Let fraction be x/y. Then (x - 1)/y = 1/2 → 2x - 2 = y and x/(y + 2) = 1/3 → 3x = y + 2 → 3x = 2x - 2 + 2 → x = 4 → y = 6 → Fraction = 4/6 = 2/3 → 6/9 equivalent