the denominator of a rational number is greater than numerator by 8. if the number is increased by 17 & denominator is decreased by 1, the number obtained is 9/4. find the rational number
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the denominator of a rational number is greater than numerator by 8. if the number is increased by 17 & denominator is decreased by 1, the number obtained is 9/4. find the rational number
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Given :
To Find :
Solution :
Let,
The numerator be x.
The denominator be x + 8 because according to the question, the denominator of a rational number is greater than the numerator by 8.
According to the condition,
The numerator is increased by 17 and the denominator is decreased by 1, the number obtained is
So, the denominator and the numerator of a rational number are :
★ The numerator = x = 1
★ The denominator = x + 8 = 1 + 8 = 9
Hence,
The rational number is
Verification :
Substitute the value of the numerator and the denominator in equation (1),
Hence Verified !
Verified answer
Answer:
13/21, just take numerator as x and denominator as x+8