The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x ≤ y is:
Explanation:
2x + y = 40
∴ y = 40 – 2x
x and y are positive integers and x ≤ y
If x = 1, y = 38
x = 2, y = 36
x = 3, y = 34 . . . x = 12, y =16
x = 13, y = 14
x = 14, y = 12
∴ For x > 13, y ≤ x
∴ There are 13 solutions to the given equation.
Hence, option (b).
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