Question

The denominator of a rational number is greater than its numerator by 6. If the numerator is decreased by 1 and the denominator increased by 1 , the number obtained is 1 by 3 . 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

Step-by-step explanation:

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