The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is. Find the rational number.

Let the
numerator of the rational number be *x*. Therefore, its
denominator will

be *x*
+ 8.

The rational number will be. According to the question,

⇒
2(*x* + 17) = 3(*x* + 7)

⇒
2*x* + 34 = 3*x* + 21

⇒
34 − 21 = 3*x* − 2*x*

⇒13
= *x*

Numerator
of the rational number = *x* = 13

Denominator
of the rational number = *x* + 8 = 13 + 8 = 21

Rational number

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