Question #904ae

1 Answer
Aug 3, 2017

24 and 26

Explanation:

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 #12/13#

So I used that to form the following equation

#((12 times x) - 20)/((13 times x) - 20)#

Then subbed in a value for x starting with one and moving up.
You get the answer when you sub in 2.

#((12 times 2) - 20)/((13 times 2) - 20) = 2/3#