The denominator of a fraction is 3 less than the numerator. Increasing the numerator by 4 and decreasing the denominator by 3, we get the number 3. Find the fraction.
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x=y-3 => x+3=y, x=>denominator, y=> numerator.....1)
y+4/x-3= 3.....2)
y+4=3(x-3)
y+4= 3x-9
3x-9=y+4
3x-y-9-4=0
3x-y-13=0
put value of y from eq.1) we get
3x-(x+3)-13=0
3x-x-3-13=0
2x-16=0
2x=16
x=16/2
x=8
then y=8+3
y=11
fraction is 11/8
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