document.write( "Question 128175: matthew is 3 times as old as jenny. In 7 years he will be twice as old as she will be then. How old is each now? \n" ); document.write( "
Algebra.Com's Answer #93866 by solver91311(24713)\"\" \"About 
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m is Matthew's age now. j is Jenny's age now.\r
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\n" ); document.write( "\n" ); document.write( "\"m=3j\" because Matthew is three times as old as Jenny now.\r
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\n" ); document.write( "\n" ); document.write( "In 7 years, Matthew will be \"m%2B7\" years old, and Jenny will be \"j%2B7\", and at that time:\r
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\n" ); document.write( "\n" ); document.write( "\"m%2B7=2%28j%2B7%29\" because Matthew will be twice as old as Jenny in 7 years.\r
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\n" ); document.write( "\n" ); document.write( "But we know that \"m=3j\" so we can substitute this value into our last equation:\r
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\n" ); document.write( "\n" ); document.write( "\"cartoon%28red%28m%29%2B7=2%28j%2B7%29%2Cred%283j%29%2B7=2%28j%2B7%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"3j%2B7=2%28j%2B7%29\"
\n" ); document.write( "\"3j%2B7=2j%2B14\"
\n" ); document.write( "\"3j-2j=14-7\"
\n" ); document.write( "\"j=7\"\r
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\n" ); document.write( "\n" ); document.write( "So Jenny is 7 now, and Matthew is \"3%2A7=21\".\r
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\n" ); document.write( "\n" ); document.write( "Check:
\n" ); document.write( "In seven years Jenny will be 14 and Matthew will be 28. 28 = 2 * 14. Answer checks.
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