document.write( "Question 112768: One-half of Heather's age two years from now plus one-third of her age three years ago is twenty years. How old is she now? \n" ); document.write( "
Algebra.Com's Answer #82345 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Write an expression for each phrase
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\n" ); document.write( "Let x = H's age now
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\n" ); document.write( "One-half of Heather's age two years from now
\n" ); document.write( "\"1%2F2\"(x+2)
\n" ); document.write( ":
\n" ); document.write( " plus one-third of her age three years ago
\n" ); document.write( "+ \"1%2F3\"(x-3)\r
\n" ); document.write( "\n" ); document.write( " is twenty years. How old is she now?
\n" ); document.write( ":
\n" ); document.write( "Put it all together, (\"is\" usually means \"=\"
\n" ); document.write( "\"1%2F2\"(x+2) + \"1%2F3\"(x-3) = 20
\n" ); document.write( ":
\n" ); document.write( "Get rid of those annoying denominators, multiply equation 6, resulting in:
\n" ); document.write( "3(x+2) + 2(x-3) = 6(20)
\n" ); document.write( ":
\n" ); document.write( "3x + 6 + 2x - 6 = 120
\n" ); document.write( "5x = 120
\n" ); document.write( "x = 120/5
\n" ); document.write( "x = 24 yrs is H's age now
\n" ); document.write( ":
\n" ); document.write( "check it out in the statement
\n" ); document.write( "\"1%2F2\"(24+2) + \"1%2F3\"(24-3) = 20
\n" ); document.write( "\"1%2F2\"(26) + \"1%2F3\"(21) = 20
\n" ); document.write( " 13 + 7 = 20 confirms our answer \n" ); document.write( "
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