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
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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 condition,
x+17
x+8−1
=
3
2
x+17
x+7
=
3
2
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
=
x
x+8
=
13
13+8
Rational number = 13/21
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