The larger number is: 36
The smaller number is: 24
Firstly, if a number is 12 more than the other, that means that the difference between the two numbers is 12
If you divide 60 by 2, you get two 30's. Then, if you add 6 to one of the 30's and then subtract 6 to the other 30, resulting in 36 and 24, you get set of numbers which equal 60 and also have a difference of 12.