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Home » Discover the Most Popular Boy Names Starting with G—Part 1! - Imagemakers

Discover the Most Popular Boy Names Starting with G—Part 1! - Imagemakers

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 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:

📌 \gcd(2028, 2025) = \gcd(2025, 2028 - 2025) = \gcd(2025, 3)

📌 Now check divisibility: \( 2025 \div 3 = 675 \), remainder 0. Thus:

📌 \gcd(2025, 3) = 3

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