The denominator of a rational number is greater than its numerator by 9. If the number 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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Answers
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 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
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+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
= x
-------
x+8
= 1313+8
Rational number = 13/21.