the denominator of a rational number is greater than its numerator by 3 if numerator is increased by 14 and denominator is decreased by 3 the new number becomes 11-4 for what is the original number
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let the numerator be x
then , the denominator will be x+3
according to the question ,
(x+14)/(x+3-3)=11/4
(x+14)/(x)=11/4
4(x+14)=11x
4x+56=11x
56=7x
x=56/7
x=8
numerator=x=8
denominator=x+3=8+3=11
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