SOLUTION: If the average of a and 2b is 26, the average of b and 2c is 41, and the average of c and 2a is 23, what is the average of a,b,and c?

Question 1040772: If the average of a and 2b is 26, the average of b and 2c is 41, and the average of c and 2a is 23, what is the average of a,b,and c?
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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Adding them all together,

So then,

Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
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If the average of a and 2b is 26, the average of b and 2c is 41, and the average of c and 2a is 23, what is the average of a,b,and c?
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You are given that a + 2b = 2*26 = 52, (1) b + 2c = 2*41 = 82, (2) and c + 2a = 2*23 = 46. (3) Add all three equations (both left and right sides). You will get 3a + 3b + 3c = 52 + 82 + 46 = 180. Divide both sides by 3. You will get a + b + c = = 60. Answer. The average of a, b and c is = = 20.

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