SOLUTION: Two integers are consecutive. If 5 is added to the first and 3 is subtracted from the second, the quotient of the resulting integers is 2 2/5. Find them.

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Question 745683: Two integers are consecutive. If 5 is added to the first and 3 is subtracted from the second, the quotient of the resulting integers is 2 2/5. Find them.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two integers are consecutive.
n & (n+1)
If 5 is added to the first and 3 is subtracted from the second, the quotient of the resulting integers is 2 2/5.
%28%28n%2B5%29%29%2F%28%28n%2B1-3%29%29 = 12%2F5
which is
%28%28n%2B5%29%29%2F%28%28n-2%29%29 = 12%2F5
Cross multiply
12(n-2) = 5(n+5)
12n - 24 = 5n + 25
12n - 5n = 25 + 24
7n = 49
n = 49/7
n = 7 and 8 are the two integers
:
:
See if that works
12/5 = 22%2F5