Question

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.​

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 xx+8

According to the given condition,

x+17x+8−1=32

x+17x+7=32

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

3x + 21 = 2x + 34

3x – 2x + 21 – 34 = 0

x – 13 = 0

x = 13

The rational number will be

= xx+8

= 1313+8

Rational number = 13/21

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