Math, asked by sfgjertyu2456, 7 months ago

38) 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.​

Answers

Answered by LifeissooBeautiful
1

Answer:

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=13

Numerator of the rational number = x = 13

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

Rational number = 13/21

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