Question 42231: Question
The numerator of a fraction is 5 less than the denominator. If 1 is added to both the numerator and the denominator, the fraction would become 2/3. Find the fraction.
This is what I have done :-
Let the denominator to be n
n–5/n and now add 1 to both the numerator and the denominator
Therefore, n-5+1/n+1 = n-4/n+1=2/3
n-4 2
___ = _
n+1 3
3(n-4) = 2(n+1)
3n-12 = 2n+2
n=12+2
n=14
Now n=14, thus denominator is n+1= 14 + 1 = 15 while numerator = n-4 = 14-4 = 10
Therefore, numerator = 10 and denominator = 15 but my teacher told us is 9 and 36 respectively instead.
Please help. Thank you.
Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website! You are correct. The original fraction is 9/14.
If you add one to numerator and denominator, you get 10/15,
which of course equals 2/3.
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