if the numerator of a fraction is increased by 1 , its value becomes 3/4 . if its denominator is increased by 2, its value becomes 1/2 . find the fraction
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Let Fraction be x/y
We are given, (x+1)/y = 3/4
so, 4x + 4 = 3y
3y - 4x = 4 -------------------------------------(1)
also, x/(y+2) = 1/2
2x = y + 2
y - 2x = -2 ---------------------------------(2)
solving Eqn. (1) and (2)
x = 5 and y = 8
Hence, Fraction is 5/8
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