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AMO 2027 Grades 8-9 SET 15 - Self-study Question 13

AMO · AMO 2027 Grades 8-9 SET 15 - Self-study

Question 13

Exercise 5. Find the digits represented by $a$ and $b$ in $\overline{a7889b}$ so that it is divisible by 15.

**Editorial input convention:** List all valid ordered pairs (a,b) by increasing a. Use parentheses, commas inside pairs and semicolons between pairs, with no spaces anywhere. Format example, not the answer: (1,2);(3,4). Different letters need not be different digits.