document.write( "Question 200189: Your dad is 34 years older than your brother. Five years ago, your dad was three times as old as your brother. How old are they now?\r
\n" ); document.write( "\n" ); document.write( "What I know already:\r
\n" ); document.write( "\n" ); document.write( "x-y = 34
\n" ); document.write( "

Algebra.Com's Answer #150496 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let \r
\n" ); document.write( "\n" ); document.write( "x=your dad's age (right now)
\n" ); document.write( "y=your brother's age (right now)\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so this means that\r
\n" ); document.write( "\n" ); document.write( "x-5=your dad's age 5 years ago
\n" ); document.write( "y-5=your brother's age 5 years ago\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Since \"Your dad is 34 years older than your brother\", this means that \"x=y%2B34\" which can be rewritten as \"x-y=34\". So our first equation is \"x-y=34\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, because \"Five years ago, your dad was three times as old as your brother\", we know that \"x-5=3%28y-5%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-5=3%28y-5%29\" Start with the given equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-5=3y-15\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=3y-15%2B5\" Add 5 to both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-3y=-15%2B5\" Subtract 3y from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x-3y=-10\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So our second equation is \"x-3y=-10\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So you just need to solve the system\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%28x-y=34%2Cx-3y=-10%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to find x and y. I'll let you do that.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you have any questions, email me at jim_thompson5910@hotmail.com.
\n" ); document.write( "Check out my website if you are interested in tutoring.
\n" ); document.write( "
\n" );