SOLUTION: can you please help me with this word problem: chan is 4 times older than his cousin. in 8 years he will only be two time older. how old are they both now?

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Question 152546: can you please help me with this word problem: chan is 4 times older than his cousin. in 8 years he will only be two time older. how old are they both now?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let Chan be C years old.
His cousin, Zeke (we'll call him that), is Z years old.
"Chan is 4 times older than Zeke."
1.C=4Z
In 8 years, Chan will be (C+8) years old and Zeke will be (Z+8) years old.
"In 8 years Chan will be two times older than Zeke."
2.%28C%2B8%29=2%28Z%2B8%29
2.C%2B8=2Z%2B16
Substitute eq. 1 into 2 and solve for Z.
2.C%2B8=2Z%2B16
4Z%2B8=2Z%2B16
2Z=8
Z=4
Then from eq. 1,
1.C=4Z
C=4%284%29
C=16
Check the answer.
In eight years, Chan will be 24 and Zeke will be 12.