SOLUTION: how many 2 digit even numbers have an odd number as the sum of their digits?

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Question 983060: how many 2 digit even numbers have an odd number as the sum of their digits?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming you don't allow a zero in the tens place (02,04,...,08) then
there are 90 2 digit numbers available from 10 to 99.
Half are even, half are odd.
Of those 45 even numbers, the ones that start with an odd number will sum to an odd number since odd plus even equals odd.
1X
2X
3X
4X
5X
There are 5 sets of 5 even 2 digit numbers that start with an odd number or 25.