SOLUTION: the sum of each pair of positive integers X,Y that satisfy 3X + 4Y = 50 is computed. What is the largest such sum?

Question 1054816: the sum of each pair of positive integers X,Y that satisfy 3X + 4Y = 50 is computed. What is the largest such sum?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

The right hand side must be even to be divisible by 2 so X must be even.
Then only every other one is divisible by 4.
So then starting at , you get ,
So then ,

are also values that satisfy.
When they are no longer a pair of positive integers.
So then,
(2,11) :
(6,8):
(10,5):
(14,2):

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