SOLUTION: Josh has three aunts. He knows that following facts about the ages of his three aunts: • Annie is twenty-two years younger than twice Claire’s age. • Betty is seventeen years ol

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Question 1031334: Josh has three aunts. He knows that following facts about the ages of his three aunts:
• Annie is twenty-two years younger than twice Claire’s age.
• Betty is seventeen years older than half of Annie’s age.
• Claire is six years younger than Betty.
• The three women’s ages add to exactly one hundred years.
How old is each aunt?

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Josh has three aunts. He knows that following facts about the ages of his three aunts:
• Annie is twenty-two years younger than twice Claire’s age.
A+=+2C-22
• Betty is seventeen years older than half of Annie’s age.
B+=+expr%281%2F2%29A+%2B+17
• Claire is six years younger than Betty.
C+=+B-6

• The three women’s ages add to exactly one hundred years.
A%2BB%2BC=100
How old is each aunt?
Pick any of these three systems:

system%28B+=+expr%281%2F2%29A+%2B+17%2CC+=+B-6%2CA%2BB%2BC=100%29, system%28A+=+2C-22%2CC+=+B-6%2CA%2BB%2BC=100%29, system%28A+=+2C-22%2CB+=+expr%281%2F2%29A+%2B+17%2CA%2BB%2BC=100%29   

and you'll get the answers.  Hint: the youngest aunt is 29.

Edwin