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If the numerator of a fraction is increased by 2 and the denominator by 1 it becomes 1. Again, if the numerator decreased by 4 and the denominator by 2 it becomes 1/2 Find the fraction.

Correct Answer: 7/8
Let, the fraction is xyATQ, x+2y+1=1Multiplying both sides by y+1x + 2 = y + 1x = y - 1x-4y-2=122x-4=1y-22x-8=y-22x=y+6Inserting x = y-1 to equation above2(y-1)= y+62y-2 = y+6y = 8Using x = y - 1x = 8 - 1x = 7 so xy=78

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