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The average of a and 2b is 2, and the average of a and 2c is 8. what is the average of a, b, and c

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Since we know the average of a and 2b is 2
⇒ The total of a and 2b is 2 x 3 = 6

Since we know the average of a and 2c is 8
⇒ The total of a and 2c is 8 x 3 = 24

The total of a and 2b = 6
The total of a and 2c = 24
So we total all up:
⇒2a + 2b + 2c = 6 + 24
⇒2a + 2b + 2c = 30 // Combine like terms
⇒ a + b + c = 15 //Divide by 2 through

The total of a, b and c is 15. Now we can calculate the average of the 3:
Average of a + b + c = 15/3
Average of a + b + c = 5

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Answer: The average is 5.
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