SOLUTION: When you add 12 to a number and then divide the sum by 13, you get the same result as when you subtract 13 from the number and then divide the difference by 12. What's the number?

Algebra ->  Equations -> SOLUTION: When you add 12 to a number and then divide the sum by 13, you get the same result as when you subtract 13 from the number and then divide the difference by 12. What's the number?      Log On


   

Question 697894: When you add 12 to a number and then divide the sum by 13, you get the same result as when you subtract 13 from the number and then divide the difference by 12. What's the number?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
When you add 12 to a number and then divide the sum by 13, you get the same result as when you subtract 13 from the number and then divide the difference by 12. What's the number?
:
Let n = "the number"
%28%28n%2B12%29%29%2F13 = %28%28n-13%29%29%2F12
cross multiply
13(n-13) = 12(n+12)
13n - 169 = 12n + 144
13n - 12n = 144 + 169
n = 313 is the number
:
You can confirm this in the original equation