document.write( "Question 696182: mary is 24 years old. mary is twice as old as ana was when mary was as old as ana is now. how old is ana? \n" ); document.write( "
Algebra.Com's Answer #428849 by Stitch(470)\"\" \"About 
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This is a tricky word problem.\r
\n" ); document.write( "\n" ); document.write( "Here is how you set it up.
\n" ); document.write( "Let M = Mary's age
\n" ); document.write( "Let A = Ana's age
\n" ); document.write( "Let Y = # of years\r
\n" ); document.write( "\n" ); document.write( "Equation 1: \"M+=+24\" (From mary is 24 years old)
\n" ); document.write( "Equation 2: \"M+-+Y+=+A\" (From when mary was as old as ana is now)
\n" ); document.write( "Equation 3: \"M+=+2%2A%28A+-+Y%29\" (From mary is twice as old as ana was)
\n" ); document.write( "----------------------------------------------
\n" ); document.write( "We know the value of M so we can solve equation 2 for A
\n" ); document.write( "\"M+-+Y+=+A\"
\n" ); document.write( "\"24+-+Y+=+A\"
\n" ); document.write( "Now plug 24 - Y into equation 3 for A, and M= 24
\n" ); document.write( "Equation 3: \"M+=+2%2A%28A+-+Y%29\"
\n" ); document.write( "\"24+=+2%2A%28%2824+-+Y%29-Y%29\"
\n" ); document.write( "Simplify the equation
\n" ); document.write( "\"24+=+2%2A%2824+-+2Y%29\"
\n" ); document.write( "Simplify
\n" ); document.write( "\"24+=+48+-+4Y\"
\n" ); document.write( "Add 4Y to both sides
\n" ); document.write( "\"24+%2B+4Y+=+48\"
\n" ); document.write( "Subtract 24 from both sides
\n" ); document.write( "\"4Y+=+24\"
\n" ); document.write( "Divide both sides by 4
\n" ); document.write( "\"highlight%28Y+=+6%29\"
\n" ); document.write( "------------------------
\n" ); document.write( "Now we can solve equation 2 to find Ana's age
\n" ); document.write( "Equation 2: \"M+-+Y+=+A\"
\n" ); document.write( "\"24+-+6+=+A\"
\n" ); document.write( "\"highlight_green%2818+=+A%29\"
\n" ); document.write( "
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