document.write( "Question 1067838: Alan is 12 years older than tom. Three years ago, Tom was half of how old Alan is now. What are there ages now. \n" ); document.write( "

Algebra.Com's Answer #683032 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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let a = Alan's present age
\n" ); document.write( "let t = Tom's
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
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\n" ); document.write( "Alan is 12 years older than tom.
\n" ); document.write( "a = t + 12
\n" ); document.write( " Three years ago, Tom was half of how old Alan is now.
\n" ); document.write( "t - 3 = .5a
\n" ); document.write( "t = .5a + 3
\n" ); document.write( ":
\n" ); document.write( " What are their ages now.
\n" ); document.write( "replace a with (t+12) from the first statement
\n" ); document.write( "t = .5(t+12) + 3
\n" ); document.write( "t = .5t + 6 + 3
\n" ); document.write( "t - .5t = 9
\n" ); document.write( ".5t = 9
\n" ); document.write( "t = 9/.5
\n" ); document.write( "t = 18 yrs is Tom's age
\n" ); document.write( "therefore
\n" ); document.write( "a = 18 + 12
\n" ); document.write( "a = 30 yrs is Alan's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check this in the statement:
\n" ); document.write( "\"Three years ago, Tom was half of how old Alan is now.\"
\n" ); document.write( "18 - 3 = .5(30) \n" ); document.write( "

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