I am a multiple of 2 but not 3.

I am the largest two digit number that fits the first clue.what am i?

98

10

To find the answer to this question, we first need to determine the largest two-digit number that is a multiple of 2 but not 3.

Let's start by listing all the two-digit numbers and checking if they meet the first criteria (being a multiple of 2):

10, 12, 14, 16, 18,
20, 22, 24, 26, 28,
30, 32, 34, 36, 38,
40, 42, 44, 46, 48,
50, 52, 54, 56, 58,
60, 62, 64, 66, 68,
70, 72, 74, 76, 78,
80, 82, 84, 86, 88,
90, 92, 94, 96, 98.

Out of these numbers, we need to find the largest two-digit number that is not divisible by 3. By observing the list, we can see that the numbers that are not divisible by 3 are:

10, 14, 16, 20, 22, 26, 28, 32, 34, 38, 40, 44, 46, 50, 52, 56, 58, 62, 64, 68, 70, 74, 76, 80, 82, 86, 88, 92, 94, 98.

Therefore, the largest two-digit number that fits the first clue (being a multiple of 2 but not 3) is 98.