SOLUTION: Four consecutive even integers add up to 220. What is the greatest of these integers?
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Question 1106071
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Four consecutive even integers add up to 220. What is the greatest of these integers?
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Boreal, greenestamps
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Answer by
Boreal(15235)
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integers are x, x+2,x+4,x+6
They add to 220
4x+12=220
4x=208
x=52
58 is the greatest integer of the group (52,54,56,58)
Answer by
greenestamps(13200)
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The sum of the four integers is 220, so the average of the four integers is 220/4 = 55.
The four consecutive even integers have to be two on each side of the average of 55, so they are 52, 54, 56, and 58.