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#63 A 2025 puzzle
Set by Katie Steckles
The number 2025 can be split into two two-digit numbers: 20 and 25. If we add these together (20 + 25 = 45) and square the result, we get 452 = 2025.
By changing one digit of the number 2025, can you find another number that shares this property?
There is only one other four-digit number that returns itself when split in half, summed and squared. It ends in a 1. What might the last digit of its square root be?
All four of this number’s digits are different. What is it?
Solution next…
