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It's raining fives

(5)2=25 \left(\color{#20A900}{\square}5\right)^2 = \color{#3D99F6}{\square}25

Each square above represents a positive integer. Let mm and nn denote the values that fill in the green and blue squares, respectively, satisfying the equation. Then what is the relationship between mm and n?n?

Details and Assumptions:

  • This is an arithmetic puzzle, where 1 1 \square would represent the 2-digit number 19 if =9 \square = 9 . It does not represent the algebraic expression 1× 1 \times \square .

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