SOLUTION: You are given the equation 3a + b = 200 where a and b are positive integers. Determine the number of solutions (a,b) for the given equation. HELP!!!!!!!!!!!!!!!!!

Question 433657: You are given the equation 3a + b = 200 where a and b are positive integers. Determine the number of solutions (a,b) for the given equation.
HELP!!!!!!!!!!!!!!!!!
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!

Since has to be a positive integer then has to be a multiple of 3.
So can be 3, 6, 9,...., 198.

Thus 66 solutions are possible.

P.S.: cannot be a solution since both and has to be positive.
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