A Two-digit Number Is Divided by the Sum of Its Digits | Junior Math Olympiad Preparation
A two-digit number is divided by the sum of its digits. The result is a number between 2.6 and 2.7. Find all of the possible values of the original two-digit number.
This problem comes from the 2018 Hamilton Olympiad in the U.K. To qualify for the Hamilton Olympiad students must be invited dependant on their performance in the Intermediate Challenge. The Hamilton Olympiad is eligible to ~600 students aged 16 and under in the UK. Medals are awarded to the top 100.
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