SOLUTION: which is a three digit number whose sum of digits is half the same number?

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Question 384048: which is a three digit number whose sum of digits is half the same number?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
There aren't any. This is because:
a + b + c = (1/2)(100a + 10b + c)
2a + 2b + 2c = 100a + 10b + c
98a + 8b - c = 0.
98a + 8b = c
Since a must be at least 1 (since it's a three-digit number) then c is at least 98, which wouldn't work.