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The denominator of a rational number is greater than numerator by 8. If the number is increased by 17 & denominator is decreased by 1, the number obtained is 9/4. Find the rational number . |
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Answer» 13/21Step-by-step explanation:Let the numerator of the rational number be X.So as PER the given condition, the denominator will be x + 8.The rational number will be x/x + 8.According to the given cndition,x + 17/x + 8 – 1 = 3/2=x + 17/x + 7 = 3/2=2(x + 17) = 3(x + 7)=2x + 34 = 3x + 21=34 − 21 = 3x − 2x=x=13Numerator of the rational number = x = 13Denominator of the rational number = x + 8 = 13 + 8 = 21Rational number = 13/21 |
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