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A fraction becomes , if 2 is added to both numerator and denominator. If 3 is added to both numerator and denominator, it becomes. Find the fraction.

Sol. Let the fraction by
According to the question

3x + 6 = y + 2
3x – y = 2 – 6
3x – y = –4
3x + 4 = y …(i)

5x + 15 = 2y + 6
5x – 2y = 6 – 15
5x – 2y = – 9
5x – 2(3x + 4) = – 9
…[From (i)
5x – 6x – 8 = – 9
– x = – 9 + 8
– x = – 1
x = 1
From (i), y = 3(1) + 4 = 7
The fraction = =

Mathematics 2009 Question Papers Class X
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					Set 2		Set 2
					Set 3		Set 3