The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and $x \leq y$

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Solution

The correct option is B 13
$2 x + y = 40; x \leq y; x, y ϵ I^{+}$
This problem can be solved by putting various values for x and y. Starting from x = 1. The above equation can be solved till x = 13.
At x = 13, y = 14 which is > x. But above this value of x, it becomes greater than y so the condition $x \leq y$ is violated.

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The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x≤y

The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and $x \leq y$