The average of 5 consecutive even numbers is 22. Which of these numbers is the smallest among them?
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Answer:
The smallest number is 18
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We can call the lowest integer x, the next integer x+2 (since our integers need to be even) and the third integer x+4. Now we can set up an algebraic equation. 42=x+(x+2)+(x+4).
Combine like terms on the right side,
42= 3x+6.
Subtract 6 from each side
36=3x
Divide each side by 3
x=12, which is our lowest integer.
The next two integers we find with 12+2=14 and 12+4=16. Or just simply take the next two even integers. Thus, 12+14+16=42.
Hope this helps.
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