8.
The denominator of a rational number is greater than its numerator by 7. If 3
is subtracted from the numerator and 2 is added to its denominator, the new
number becomes -1/5. Find the rational number.
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Answer:
1/8
Step-by-step explanation:
Lets take numerator and denominator as X.
The denominator is greater than numerator by 7.
= X / X + 7
If 3 is subtracted from numerator and 2 is added to denominator
it becomes -1/5.
X - 3 / X + 9 = -1/5
By cross multiplication we get,
5 (x - 3) = -1 (X + 9)
5x - 15 = -x - 9
6x = 6
X = 1
Numerator = X = 1
Denominator = X + 7 = 1 + 7 = 8
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