How many pluses should we put between the digits of 987,654,321 to get a total of 99, and where?
There are two solutions to this puzzle. What is the biggest 2-digit number spotted in any of those solutions?
Explanations
9 + 8 + 7 + 65 + 4 + 3 + 2 + 1 = 99
9 + 8 + 7 + 6 + 5 + 43 + 21 = 99
65 is the biggest 2-digit number which is spotted in the solution with seven pluses.
[After Boris A. Kordemsky. The Moscow Puzzles: 359 mathematical recreations. 1972]