SOLUTION: Find the greatest possible pair of integers such that one integer is twice the other and their sum is less than or equal to 12.

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Question 384715: Find the greatest possible pair of integers such that one integer is twice the other and their sum is less than or equal to 12.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
x = one of the integers
y = the other

x = 2*y
x + y <= 12

substitute for x in the second equation to get:

2*y + y <= 12

combine like terms to get:

3*y <= 12

divide both sides by 3 to get:

y <= 4

the greatest that y can be is 4.

if y is equal to 4, then x = 2*y means that x = 8

the greatest that x can be is 8.

when x = 8 and y = 4, then:

8 = 2*4 = ok
4 + 8 = 12 = ok