document.write( "Question 57953: You are 4 years older than your brother. Two years ago, you were 1.5 times as old as he was. What is your present age? \n" ); document.write( "

Algebra.Com's Answer #39613 by hayek(51) $\"\"$ $\"About$

You can put this solution on YOUR website!
You = $\"y\"$
\n" ); document.write( "Brother = $\"b\"$
\n" ); document.write( "You are 4 years older than your brother ==> $\"y=b%2B4\"$
\n" ); document.write( "Two years ago, you were 1.5 times as old as he was ==> $\"%28y-2%29=1.5%28b-2%29\"$
\n" ); document.write( "------
\n" ); document.write( "Eq. 1: $\"y=b%2B4\"$
\n" ); document.write( "Eq. 2: $\"%28y-2%29=1.5%28b-2%29\"$
\n" ); document.write( "Solve Eq.1 for b: $\"b=y-4\"$
\n" ); document.write( "Plug that into Eq. 2: $\"y-2=1.5%28%28y-4%29-2%29\"$
\n" ); document.write( "Distribute:
\n" ); document.write( " $\"y-2=1.5y-1.5%2A4-1.5%2A2\"$
\n" ); document.write( " $\"y-2=1.5y-6-3\"$
\n" ); document.write( " $\"y-1.5y=-6-3%2B2\"$
\n" ); document.write( " $\"-.5y=-7\"$
\n" ); document.write( " $\"y=14\"$ \r
\n" ); document.write( "
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