SOLUTION: The average age of the family of 6 is 30 years,if another person is added to the family is 38.how old is the person is added to the family.

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Question 773229: The average age of the family of 6 is 30 years,if another person is added to the family is 38.how old is the person is added to the family.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
( sum of all 6 ages ) / 6 = 30
( sum of all 6 ages + age of new person ) / 7 = 38 }}}
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sum of all 6 ages = 6*30
sum of all 6 ages = 180
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( sum of all 6 ages + age of new person ) / 7 = 38
( 180 + age of new person ) / 7 = 38
( 180 + age of new person ) = 7*38
age of new person = 7*38 - 180
age of new person = 266 - 180
age of new person = 86
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check answer:
+%28+180+%2B+86+%29+%2F+7+=+38+
+180+%2B+86+=+266+
+266+=+266+
OK