The denominator of a rational number is greater than itz numerator by 3 .If denominator is increased by 14 and denominator is decreased by 3,the new beacame 11/4 .what is the original number
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Answer:
numerator =x
denominator=x+3
according to question
x+14. 11
--------- = ------
x+3-3. 4
4(x+14)=11(x+3-3)
4(x+14)=11*x
4x + 56=11x
56=11x-4x
56=7x
x=56/7
x=8
therefore,
numerator=x=8
denominator=x+3=8+3=11
original rational number=8/11
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