SOLUTION: Can you please help me solve this age problem? Casey is 4 years older than Aaron. Three times Casey’s age in 3 years will equal 2 less than 5 times Aaron’s age in 3 years. How o

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Can you please help me solve this age problem? Casey is 4 years older than Aaron. Three times Casey’s age in 3 years will equal 2 less than 5 times Aaron’s age in 3 years. How o      Log On

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Question 1120096: Can you please help me solve this age problem?
Casey is 4 years older than Aaron. Three times Casey’s age in 3 years will equal 2 less than 5 times Aaron’s age in 3 years. How old are they now?
Thanks in advance.
Found 2 solutions by josgarithmetic, Shin123:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
system%28c=a%2B4%2C3%28c%2B3%29=5%28a%2B3%29-2%29 Substitute a+4 for c to get
3%28a%2B7%29=5%28a%2B3%29-2
3a%2B21=5a%2B13 Subtract 3a from both sides to get
21=2a%2B13
2a=8
highlight%28a=4%29 4+4=8
highlight%28c=8%29 If a is x and c is y, the graph for the system will be
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cy=x%2B4%2Cy=%285%2F3%29x%2B4%2F3%29 The lines intersect at the point (4,8) so that proves our answer.