my tens digit is double my ones digit both of my digits add up to six what number am I?

42

To find the number that satisfies the given conditions, we can try systematically listing the possible combinations for the tens and ones digits.

Let's start by considering the tens digit as double the ones digit. We'll list all the possible pairs that add up to six:

1 + 5 = 6
2 + 4 = 6
3 + 3 = 6
4 + 2 = 6
5 + 1 = 6

According to the condition, the tens digit is double the ones digit. So, we just need to check which of these pairs fits this requirement.

1 + 5 = 6 (not double)
2 + 4 = 6 (not double)
3 + 3 = 6 (tens digit is not double)
4 + 2 = 6 (tens digit is double)
5 + 1 = 6 (not double)

Therefore, the number that matches all the criteria is 42.