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The room of two adjacent classrooms are two consecutive odd numbers. If their sum is 496, find the classroom numbers

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SOLUTION:

The relationship between two consecutives odd numbers is addition two, e.g 1, 3, 5.

Let the first odd number be "p", so the next odd number will be "p + 2".


\begin{gathered} p\text{ + (p + 2) = 496} \\ p\text{ + p + 2 = 496} \\ 2p\text{ + 2 = 496} \\ 2p\text{ = 496 - 2} \\ 2p\text{ = 494} \\ p\text{ =}(494)/(2) \\ p\text{ = 247} \end{gathered}

The first odd number is 247 and the second odd number is 247 + 2 = 249.

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