the denominator of a rational number is greater than its numerator by 8. if the numeris increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. find the rational number
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Answer:
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 [latex]\frac{x}{x+8}[/latex]
According to the given condition,
Step-by-step explanation:
3(x + 7) = 2(x + 17)
3x + 21 = 2x + 34
3x – 2x + 21 – 34 = 0
x – 13 = 0
x = 13
rational no=13/21
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