Question 1091971: If the five expressions 2x + 1, 2x – 3, x + 2, x + 5, and x-3 are arranged correctly, the first three expressions have a sum of 4x +3, and the last three expressions have a sum of 4x + 4, what would the middle expression be? (For example, would 2x + 1 need to be the expression in the middle to make both sums possible?) thank you very much
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
If five expressions are arranged in some particular order, and then you look at the sum of the first three and the sum of the last three, then the expression in the middle gets counted twice. So
(middle expression) = (sum of first three) + (sum of last three) - (sum of all)
The sum of all five expressions is 7x+2; so the middle expression is
x+5 is the middle expression.
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