24 and 26
I derived an equation by using the information given and then used it to calculate the answer via brute force, luckily it only took 2 tries.
We want 12 and 13 to be timed by the same number at the same time.
The ration 12:13 can also be written as
So I used that to form the following equation
Then subbed in a value for x starting with one and moving up.
You get the answer when you sub in 2.