SOLUTION: The sum of four consecutive odd integers is 296. What is the product of the smallest and largest of the four odd integers?

Question 834397: The sum of four consecutive odd integers is 296. What is the product of the smallest and largest of the four odd integers?
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Here's what we're told:
A + B + C + D = 296
B = A+2 (they're consecutive and odd, therefore 2 away from each other)
C = A+4
D = A+6
Substitute the values into the original equation
A + (A+2) + (A+4) + (A+6) = 296
Add the As
4A +2 +4 +6 = 296
Add
4A +12 = 296
Subtract 12 from each side
4A = 284
Divide each side by 4
A = 71
If A is 71, then B is 73, C is 75, D is 77
Let's add them together
71 + 73 + 75 + 77 = 296
Success!
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