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?
:
Let n = "the number"
{{{((n+12))/13}}} = {{{((n-13))/12}}}
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