The denominator of a rational number is
greater than its numerator by 8 If
numerator is increased by, 17 and the 7t8
denominator is decreased by 1, the
number obtained is 3\2 . Find the rational
number.
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Step-by-step explanation:
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answer:
Rational number = 13/21
Step-by-step explanation:
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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