What is the tens digit of two-digit positive integer w?

This took a while to solve!

from statement 1 we are told that 2*w and w share the same number in the tens digit.
now lets assume w is either from 10-20----90s or 19-29-39---99 series to test the extremes:
hence:
If w is:
10-20-30-40-50-60-70-80-90
2w will be:
20-40-60-80-100-120-140-160-180

or 2nd case:
w is
19-29-39-49-59-69-79-89-99
2w will be:
38-58-78-98-118-138-158-178-198

from the above we see only if w = 99 then 2w = 198 and satisfies the first statement. We also have other solutions such 95, 96, 97, 98, 99
Hence 1 is insufficient

Now in the second statement we are told: w+5 leads to a digit whose sum is 5.
Possible solutions are: 23, 32, 41, 50, 104
i.e. w = 18, 27, 36, 45, or 99
Again 2 is insufficient.

But if we combine 1 & 2 we get w=99

Hence both are required and C is the correct answer.