Clue 1. My number has two digits and each is even Clue 2. The sum of my numbers digits is 10 Clue 3. The difference of the two digits of my number is 6 Clue. 4 my number has 4 as a factor What is my number?

28

Explanation:

The factors of 10 with even numbers only are:

2 and 8 4 and 6

The possibilities we have are:

28 46 64 82

Only 28 and 82's digits have a difference of 6, so our new list of possibilities is:

28 82

28 can be divided by 4 to get a whole number, 7, while 82 cannot. So, 28 is the only one with 4 as a factor and the only possibility.