Got this one from the Internet, so no fair going to Google for the answer.
ABCDEF × 3 = BCDEFA
Substitute a digit for each letter to provide the correct equation. Post your answer as a comment below. The solution will be provided next week (or sooner).
No solution given yet. I have not taken the time to solve this, but here are some hints.
Note that A < 4 and A ≠ 0. A ≠ 0 is not stated in the problem, but I’m taking it as assumed. If A > 3, then multiplying by three would produce overflow and a number with more digits.
BCDEFA is divisible by 3, which means ABCDEF is divisible by 3, since both have the same digital root.
BCDEFA is divisible by 9.
That should get people going, so I’m going to give more time to come up with an answer.