The number obtained by taking the last two digits of 5 2024 in the same order is:
Hint 1: Start by analyzing the initial conditions and setting up the basic equations. Last two digits of 52024.
Hint 2: Look for algebraic properties, symmetry, or geometric theorems to simplify. => 52024 (mod 100).
Hint 3: Proceed with the final algebraic steps to solve the system. 54 25 (mod 100).
Step 1: Last two digits of 52024
Step 2: => 52024 (mod 100)
Step 3: 54 25 (mod 100)
Step 4: 52024 25 (mod 100)
Step 5: => last 2 digits in same order is 25
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