Question 12

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

Solution

y = 38 => x = 1

y = 36 => x = 2

...

...

y = 14 => x = 13

y = 12 => x = 14 => Cases from here are not valid as x > y.

Hence, there are 13 solutions.

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