SOLUTION: The three Athios children have a combined age of 50. The youngest is half as old as the oldest. 10 years ago, the oldest was seven times as old as the youngest. How old were the ch

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Question 1153947: The three Athios children have a combined age of 50. The youngest is half as old as the oldest. 10 years ago, the oldest was seven times as old as the youngest. How old were the children 10 years ago?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = the age of the youngest
Let = the age of the middle child
Let = the age of the oldest
-----------------------------------------------
(1)
(2)
(3)
----------------------------------
(2)
(3)
(3)
(3)
(3)
and
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
-----------------------
Ten years ago, their ages were:
Youngest:
Middle:
Oldest:
---------------------------------
check:
(3)
(3)
(3)
OK

Answer by ikleyn(52781) (Show Source):
You can put this solution on YOUR website!
.

Solve the problem for the oldest and the youngest first. When you get the answer for this pair, you will easily determine the age for the middle child.