SOLUTION: brandon is 10 years older than brian. in 2 years Brandon will be 3 times as old as Brian. How old are they now?

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Question 241039: brandon is 10 years older than brian. in 2 years Brandon will be 3 times as old as Brian. How old are they now?
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Since Brandon is ten years older than Brian, let:
Brian = x
Brandon = x+10
.
In 2 years Brandon will be 3 times as old as Brian, so our equation now becomes:
%28x%2B10%29%2B2=3%28x%2B2%29
Now solve for x to determine Brian's age.
x%2B12=3x%2B%283%2A2%29
x%2B12=3x%2B6
12-6=3x-x
6=2x
x=6%2F2
x=3 ...this is Brian's age (today)
.
x%2B10=3%2B10=13 ...this is Brandon's age (today).
.
Let's plug in the x value in the original equation to see if it makes sense.
Remember: %28x%2B10%29%2B2=3%28x%2B2%29
%283%2B10%29%2B2=3%283%2B2%29
13%2B2=3%283%2B2%29
15=3%285%29
15=15
.
The answer checks! We're done! :)