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 3/2. Find the rational number.​

Answer 1

Answer:

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Answer 2

Answer:

Let us numerator of the rational number be x

So as per the given condition , the denominator will be x+8

1. The rational number will be x/X+8.
2. According to the given condition,
3. x+17/x+8-1 = 3/2
4. x+27/x+7 =3/2
5. 3(x+7)=2(x+17)
6. 3x+21=2x+34
7. 3x-2x+21-34=0
8. x-13=0
9. x=13
10. The rational number will be =x/x+8
11. =13/13+8
12. Rational number is =13/21