Question

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 numbers ​

Answer 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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Answer 2

Answer:x + 8.

Step-by-step explanation:

If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. Find the rational number. Let the numerator of the rational number be x. So as per the given condition, the denominator will be x + 8.