The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x andlt;= y is:a)7b)14c)13d)18Correct answer is option 'C'. Can you explain this answer?

We can rewrite the given equation as $y = 20 - x$. Since $x$ and $y$ are positive integers, we must have $x \leq 20$. Thus, the possible values of $x$ are 1, 2, 3, $\dots$, 19, 20, for a total of $\boxed{20}$ solutions.

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