find the sum of three consecutive odd integers where x is the greatest integer
Question
Answer:
x + (x − 2) + (x − 4) = ? ; In whichx + x − 2 + x − 4 ;
Combine the "like terms" ;
x + x + x = 3x ;
− 2 − 4 = −6 ;
So we have: "3x − 6" as the sum. ;
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The sum of three consecutive odd integers, in which "x" is the greatest integer; is: "3x − 6" .
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Note: The three consecutive odd integers, from least to greatest, are:
"(x − 4)" , "(x − 2)" , and "x" .
The sum is: "(3x − 6)" .
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Note: "(3x − 6)" factors into: " 3(x −2)" .
Note that: " (x − 2) " is the second integer.
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So the sum total, which is: "(3x − 6)" ; is 3 (three) times the value of the second integer; that is, "3 (x − 2)" .
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solved
general
11 months ago
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