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AMO 2027 Grades 4-5 SET 21 - Self-study Question 5

AMO · AMO 2027 Grades 4-5 SET 21 - Self-study

Question 5

In the algorithm below, the letters a, b and c represent different digits from 0 to 9. What is the three-digit number $\overline{abc}$?

$$a+\overline{ab}+\overline{ab}+\overline{abc}+1000=2018.$$

A digit string denotes a base-ten number, not a product; its leading digit is nonzero.

Question illustration