The difference of the numerator to the denominator of rational number is 1. If 8 is subtracted from the numerator and 1 is added to the denominator the new rational number becomes zero. find the rational number.
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Let the Original Rational number be : p/q
where p is the numerator and q is the denominator
Given that the difference of the numerator to the denominator of this original rational number is 1
⇒ p - q = 1
It is also given that if 8 is subtracted from the numerator and 1 is added to the denominator the new rational number becomes zero
⇒ (p - 8)/(q + 1) = 0
The above fraction can become zero only when p - 8 = 0
⇒ p = 8
As p - q = 1
⇒ 8 - q = 1
⇒ q = 7
So the Original Rational number is 8/7
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