The largest 2-digit multiple of 17 is 98.
To find this, we start with the largest 2-digit number, which is 99, and divide it by 17. When we do this division, we find:
99 ÷ 17 = 5.8235…
Since we are only interested in whole multiples, we take the integer part (which is 5) and multiply it back by 17:
5 × 17 = 85.
Next, we check the next integer, which is 6:
6 × 17 = 102,
but 102 is no longer a 2-digit number.
Therefore, the largest multiple of 17 that fits within the 2-digit range is 85.
To conclude, 85 is the largest two-digit multiple of 17.