Answer :
Answer:
Sam is 15; Owen is 5.
Step-by-step explanation:
Let s denote Sam's age and let o denote Owen's age.
So, Sam is three times older than Owen. Thus:
[tex]s=3o[/tex]
In 5 years, Sam will be twice as old as Owen. In other words, Sam's current age plus 5 years will be Owen's current age plus five years times 2. Thus:
[tex]s+5=2(o+5)[/tex]
We have a system of equations. Solve for substituting the first equation into the second. Thus:
[tex]3o+5=2(o+5)[/tex]
Distribute the right:
[tex]3o+5=2o+10[/tex]
Subtract 2o from both sides:
[tex]o+5=10[/tex]
Subtract 5 from both sides:
[tex]o=5[/tex]
So, Owen is currently 5 years old.
Sam is 3 times older than Owen, so Sam is 15 years old.
And we're done :)