if 2 is added to the numerator of a fraction is it reduces to 1 upon 2and if 1 is subtracted from the denominator it reduces to 1 upon 3 find the fraction
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if 2 is added to the numerator of a fraction is it reduces to 1 upon 2and if 1 is subtracted from the denominator it reduces to 1 upon 3 find the fraction
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Verified answer
Let the fraction be x/y, sox + 2 / y = 1/2
which gives x + 2 = y/2
2x + 4 = y
2x - y = -4......(1)
Now, we have
x / y - 1 = 1/3
Cross multiplying we get,
3x = y - 1
3x - y = -1..... (2)
Solving (1) and (2) we get,
x = -1 + 4 = 3
So 3(3) - y = -1
9 - y = -1
y = 10
Our fraction is 3/10.
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