SOLUTION: Carl is a years old. His sister Jenny is six more than twice his age. What is the average of their ages?

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Question 91657: Carl is a years old. His sister Jenny is six more than twice his age. What is the average of their ages?
Answer by bucky(2189) About Me  (Show Source):
You can put this solution on YOUR website!
Carl is A years old.
.
His sister is twice his age (2A) plus 6 years. So she is 2A + 6.
.
To average their two ages, add their ages together and divide by 2. Adding their ages results
in:
.
A + 2A + 6 = 3A + 6
.
Then dividing by 2:
.
Average+Age=%283A+%2B+6%29%2F2+
.
If you would like you can also divide each of the terms in the numerator by 2 and express the
answer as:
.
Average+Age+=+%283%2F2%29A+%2B+6%2F2+=+%283%2F2%29A+%2B+3
.
Hope this helps you to understand the problem a little better.