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Four consecutive even integers add up to 164. What is the least of these integers?

User Zowens
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1 Answer

1 vote

Answer:

least integer is 38

Explanation:

consecutive even integers have a difference of 2 between them

let n be the smallest integer, then

the 3 consecutive integers are n + 2 , n + 4 , n + 6

sum the 4 integers and equate to 164, solving for n

n + n + 2 + n + 4 + n + 6 = 164 ( simplify left side )

4n + 12 = 164 ( subtract 12 from both sides )

4n = 152 ( divide both sides by 4 )

n = 38

the least integer is 38

User James An
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7.2k points