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 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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