But Which Two Digits?
Number Theory
Level
1
Let \(a\) and \(b\) be distinct single-digit positive integers such that
- the last digit of \(a\times a \times a \) is \(b\), and
- the last digit of \(b\times b \times b\) is \(a\).
What is \(a+b\)?
by
Pi Han Goh