SOLUTION: An integer is between 110 and 120. The quotient when this number is divided by the sum of its digits is 19. What is the number?

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Question 958963: An integer is between 110 and 120. The quotient when this number is divided by the sum of its digits is 19. What is the number?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
The only unknown digit is the units digit The first two digits must be 11?.
x=units digit
110%2Bx%2F1%2B1%2Bx=19
110%2Bx=19x%2B19%2B19 Subtract x from each side.
110=18x%2B38 Subtract 38 from each side.
72=+18x Divide each side by 18.
3=x ANSWER: The number is 113