SOLUTION: if the lesser of two consecutive even integers is five more than half the greater, what are the two integers?

Question 895343: if the lesser of two consecutive even integers is five more than half the greater, what are the two integers?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
x = y + 2
where y is the lesser integer, and x is the greater integer
y = .5x + 5
Substitute the value of y from the second equation into the first
x = (.5x+5) + 2
Add
x = .5x + 7
Subtract .5x from each side
.5x = 7
Multiply each side by 2
x = 14
If x, the greater integer is 14, then y, the lesser consecutive even number is 12.
Let's make sure that works:
the lesser of two consecutive even integers (12) is five more than half the greater (1/2 of 14 = 7, + 5 = 12)
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