SOLUTION: What three-digit number is 11 times the sum of its digits?

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Question 556439: What three-digit number is 11 times the sum of its digits?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If the 3-digit positive integer is abc, then





If a = 1, then b = 9 and c = 8 and we have the number 198. If a is larger than 1, then we cannot have integer values b and c that satisfy (since b and c are less than 10). Hence the only integer is 189.