MathDB
AB/B 3-digit

Source: 2015 Cuba 2.3

September 20, 2024
number theoryDigits

Problem Statement

Determine the smallest integer of the form ABB\frac{ \overline{AB}}{B} .where AA and BB are three-digit positive integers and AB\overline{AB} denotes the six-digit number that is form by writing the numbers AA and BB consecutively.