SOLUTION: The sum of the ages of Pam, Dion, and their three children, in years, is 5x - 99, where x is Dion's age. Pam is 5 years younger than Dion. What is the sum of the ages of their chil

Algebra ->  Equations -> SOLUTION: The sum of the ages of Pam, Dion, and their three children, in years, is 5x - 99, where x is Dion's age. Pam is 5 years younger than Dion. What is the sum of the ages of their chil      Log On


   

Question 1048597: The sum of the ages of Pam, Dion, and their three children, in years, is 5x - 99, where x is Dion's age. Pam is 5 years younger than Dion. What is the sum of the ages of their children?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the ages of Pam, Dion,
and their three children, in years, is +5x+-+99+
+x+ = Dion's age
+x+-+5+ = Pam's age
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The sum of the ages of their children is:
+5x+-+99+-+x+-+%28+x+-+5+%29+
+5x+-+99+-+x+-+x+%2B+5+
+3x+-+94+
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check the answer:
Suppose +x+=+40+ ( Dion is 30 )
The sum of all their ages is:
+5x+-+99+=+5%2A40+-+99+
+5x+-+99+=+101+
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Dion is +40+
Pam is +35+
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The sum of the childrens ages is:
+101+-+40+-+35++=+26+
and
+3x+-+94+=+3%2A40+-+94+
+3x+-+94+=+120+-+94+
+3x+-+94+=+26+
OK
That seems reasonable. They could be
13, 9, and 4