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2013 AMC 10B Question 18

AMC10 · 2013 AMC 10B

Question 18

The number $2013$ has the property that its units digit is the sum of its other digits, that is $2+0+1=3.$ How many integers less than $2013$ but greater than $1000$ have this property?
  1. $ 33 $
  2. $ 34 $
  3. $ 45 $
  4. $ 46 $
  5. $ 58 $