document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #176980 by College Student(505) $\"\"$ $\"About$

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Since Brandon is ten years older than Brian, let:
\n" ); document.write( "Brian = x
\n" ); document.write( "Brandon = x+10
\n" ); document.write( ".
\n" ); document.write( "In 2 years Brandon will be 3 times as old as Brian, so our equation now becomes:
\n" ); document.write( " $\"%28x%2B10%29%2B2=3%28x%2B2%29\"$
\n" ); document.write( "Now solve for x to determine Brian's age.
\n" ); document.write( " $\"x%2B12=3x%2B%283%2A2%29\"$
\n" ); document.write( " $\"x%2B12=3x%2B6\"$
\n" ); document.write( " $\"12-6=3x-x\"$
\n" ); document.write( " $\"6=2x\"$
\n" ); document.write( " $\"x=6%2F2\"$
\n" ); document.write( " $\"x=3\"$ ...this is Brian's age (today)
\n" ); document.write( ".
\n" ); document.write( " $\"x%2B10=3%2B10=13\"$ ...this is Brandon's age (today).
\n" ); document.write( ".
\n" ); document.write( "Let's plug in the x value in the original equation to see if it makes sense.
\n" ); document.write( "Remember: $\"%28x%2B10%29%2B2=3%28x%2B2%29\"$
\n" ); document.write( " $\"%283%2B10%29%2B2=3%283%2B2%29\"$
\n" ); document.write( " $\"13%2B2=3%283%2B2%29\"$
\n" ); document.write( " $\"15=3%285%29\"$
\n" ); document.write( " $\"15=15\"$
\n" ); document.write( ".
\n" ); document.write( "The answer checks! We're done! :) \n" ); document.write( "

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