the sum of numerator and denominator a fraction is 3 less than twice denominator.if each of the numerator and denominator is decreased by 1.the numerator become half the denominator find the fraction
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Let x/y be the fraction
x+y = 2y-3 ------------------1
x-1 = (y-1)/2
2(x-1) = y-1
2x-2=y-1
y=2x-1
substitute in 1
x+2x-1=2(2x-1) -3
3x-1 = 4x-2-3
3x-1=4x-5
x=4
y=7
Fraction is 4/7
x+y = 2y-3 ------------------1
x-1 = (y-1)/2
2(x-1) = y-1
2x-2=y-1
y=2x-1
substitute in 1
x+2x-1=2(2x-1) -3
3x-1 = 4x-2-3
3x-1=4x-5
x=4
y=7
Fraction is 4/7
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