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AMO 2027 Grades 6-7 SET 20 - Self-study Question 8

AMO · AMO 2027 Grades 6-7 SET 20 - Self-study

Question 8

$\overline{AB}$ is a 2-digit number. The digit B is 3 more than A. When $\overline{AB}$ is divided by sum of its digits the quotient is 4 and remainder is 3. Find the 2-digit number.

**Editorial note for this self-study exercise:** A is the tens digit and B is the units digit. The overbar denotes a numeral, not multiplication. Enter the two-digit number.