Question

the denominator of a rational number is greater than its numerator by 8 . if the numerator is increased by 17 and denominator is decreased by 1 , the number obtained is 3/2 . Find the rational number .​

Answer 1

$\huge\tt\pink{answer}$

Answer 2

Answer:

$\frac{13}{21}$

Step-by-step explanation:

LET NUM BE X

LET DEN BE X+8

THEN,

$\frac{x}{x+8}$

$\frac{x+17}{x+8-1}$

$\frac{x+17}{x+7}$

ATQ ,

$\frac{x+17}{x+7}$ = $\frac{3}{2}$

2(x + 17) = 3(x + 7)

2x + 34 = 3x + 21

34-21 = 3x-2x

x = 13

$\frac{x}{x+8}$

$\frac{13}{21}$

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