SOLUTION: Louis is 3 times as old as Mackenzie.In 8 years their ages will be 100.How old are they now? Answer with steps please!!

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Question 726059: Louis is 3 times as old as Mackenzie.In 8 years their ages will be 100.How old are they now?
Answer with steps please!!

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = Louis's age now
Let = Mackenzie's age now
= Louis's age in 8 years
= Mackenzie's age in 8 years
given:
(1)
(2)
-------------------------
(2)
(2)
Substitute (1) into (2)
(2)
(2)
(2)
and, since
(1)
(1)
(1)
Louis is 63 and Mackenzie is 21
check:
(2)
(2)
(2)
OK

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