Question
Write an odd natural number as a sum of two integers m1 and m2 in a way that m1m 2 is maximum.
Answer :
Word Count : 381
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To solve the problem of expressing an odd natural number \( n \) as the sum of two integers \( m_1 \) and \( m_2 \) such that the product \( m_1 \times m_2 \) is maximized, we can proceed as follows: ### Step 1: Express the Odd Number Let \( n \) be an odd natural number. We need to find two integers \( m_1 \) and \( m_2 \) such that: \[ m_1 + m_2 = n \] and we want to maximize the product \( m_1 \times m_2 \). ### Step 2: Analyze the Product We express \( m_2 \) in terms of \( m_1 \): \[ m_2 = n - m_1 \] Thus, the product becomes: \[ m_1 \times m_2 = m_1
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