SOLUTION: The sum of three numbers is 64. One of the numbers is twice the average of the other two. The difference between the other two is 6. What are the three numbers?

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Question 991189: The sum of three numbers is 64. One of the numbers is twice the average of the other two. The difference between the other two is 6. What are the three numbers?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let one of the numbers be and another be . The average of these two numbers is , so twice the average of these two numbers is . So the sum of the three numbers is:



and



is also true since the choice of or for the larger of the two is arbitrary.

Solve the 2X2 system for and , then calculate .

John

My calculator said it, I believe it, that settles it