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Denominator of a rational number exceeds its numerator by 8. If 17 is added to the numerator and 1 is subtracted from denominator we get the rational
Question

Denominator of a rational number exceeds its numerator by 8. If 17 is added to the numerator and 1 is subtracted from denominator we get the rational number 3/2, then the rational number is

A.

13/21

B.

21/13

C.

13/7

D.

7/13

Correct option is A

(x+17)2 = (x+7)3
2x + 34 = 3x + 21
3x – 2x = 34 – 21
X = 13
So,
The value of x is 13, which means the denominator is 8 more than the numerator which is given in the question.


=13/21

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