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Home » The Shocking Truth About Feet Bones You’ve Never Heard Before—Fix It Fast! - Portal da AcÃºstica

The Shocking Truth About Feet Bones You’ve Never Heard Before—Fix It Fast! - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 eq 0 \). The sum of the digits is \( a + b + c \), and we require this sum to be a perfect square. The largest three-digit number is 999, so \( a + b + c \) ranges from 1 to 27.

📌 The largest perfect square within this range is \( 25 \) (since \( 5^2 = 25 \)). We seek the largest \( n \) such that \( a + b + c = 25 \).

📌 Given \( a + b + c = 25 \), maximize \( n \) by choosing the largest possible \( a \). Start with \( a = 9 \):

📌 b + c = 25 - 9 = 16

📌 Maximize \( 10b + c \) by setting \( b = 9 \), \( c = 7 \), yielding \( n = 100 imes 9 + 10 imes 9 + 7 = 997 \).

📌 Check: \( 9 + 9 + 7 = 25 \), which is a perfect square. Thus, the largest possible population count is \(oxed{997}\).

📌 A ichthyologist is studying fish populations affected by climate change. Consider two positive integers \( m \) and \( n \) such that \( m = 2025 \) and \( n = 2028 \). What is the greatest common divisor of \( m \) and \( n \)?

📌 To find \(\gcd(2025, 2028)\), use the Euclidean algorithm:

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