SOLUTION: Find the greatest possible pair of integers such that one integer is 2 less than three times the other and the sum is less than 42

Question 167536: Find the greatest possible pair of integers such that one integer is 2 less than three times the other and the sum is less than 42
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Find the greatest possible pair of integers such that one integer is 2 less than three times the other and the sum is less than 42
.
Let x = one integer
and y = other integer
.
x = 3y-2
x+y<42
.
3y-2 + y < 42
4y-2 < 42
4y < 44
y < 11
.
If y < 11, the greatest possible value for y is 10.
.
x = 3y-2
x = 3(10)-2
x = 30-2
x = 28
.
The two integers: 10 and 28

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