the denominator of a rational number is greater than its numerator by 8. if the numerator is increased by 17 and denominator is decreased by 1, the number obtained is 3/2. The rational number is :
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Step-by-step explanation:
Let the numerator be x .
Thus the denominator will be x+8.
The numerator is increased by 17 and denominator is decreased by 1.
Thus
x+17/(x+8)-1 = 3/2
Therefore....
x+17/x+7=3/2
On cross multiplying
2x+34 = 3x + 21
x=13.
Thus , numerator =13 and denominator = 13+8=21.
So rational number is 13/21.
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