Question

The denominatier of a fraction is greater than the numertor by 8. If the numertor increased by 17 and decreased by 1 , the number obtained is 3/2 . find the fraction​

Answer 1

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Given:

The denominatier of a fraction is greater than the numertor by 8. If the numertor increased by 17 and decreased by 1 , the number obtained is 3/2 . find the fraction

Ans:

13/21

Explanation:

$let \: numeraator \: be \: x \\ therefore \: the \: denomintaor \: will \: be \: x \: + 8 \\ = > x + \frac{17}{x} + 8 - 1 = \frac{3}{2} \\ = > x + \frac{17}{x} + 7 = \frac{3}{2} \\ = > 2(x + 17) = 3(x - 7) \\ = > 2x + 34 = 3x + 21 \\ = > 34 - 21 = 3x - 2x \\ = > 13 = x \\ therefore \: \frac{x}{x} + 8 = \frac{13}{21} is \: ans$

Answer 2

Answer:

The denominatier of a fraction is greater than the numertor by 8. If the numertor increased by 17 and decreased by 1 , the number obtained is 3/2 . find the fraction