document.write( "Question 62371: John's present age is three-fourths of Sally's present age. In five years, John's age will be four-fifths of Sarah's age at that time. What are the present ages of John and Sally? \n" ); document.write( "
Algebra.Com's Answer #43072 by joyofmath(189)\"\" \"About 
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John's present age is three-fourths of Sally's present age. In five years, John's age will be four-fifths of Sarah's age at that time. What are the present ages of John and Sally?\r
\n" ); document.write( "\n" ); document.write( "The two equations are:
\n" ); document.write( "\"J=%283%2F4%29S\".
\n" ); document.write( "\"J%2B5=%284%2F5%29%28S%2B5%29\".\r
\n" ); document.write( "\n" ); document.write( "Replace J with (3/4)S in the 2nd equation:
\n" ); document.write( "\"%283%2F4%29S%2B5=%284%2F5%29%28S%2B5%29\".
\n" ); document.write( "Multiply both sides of the equation by 20 to get rid of the fractions:
\n" ); document.write( "\"15S%2B100=16%28S%2B5%29\".
\n" ); document.write( "Or, \"15S%2B100=16S%2B80\".
\n" ); document.write( "Or, \"100=S%2B80\".\r
\n" ); document.write( "\n" ); document.write( "So, \"S=20\".
\n" ); document.write( "Sally is 20 years old. John is 3/4 of Sally's age so John is 15.\r
\n" ); document.write( "\n" ); document.write( "Verification:
\n" ); document.write( "In 5 years Sally will be 25 and John will be 20 which is indeed four-fifth's of Sally's age in 5 years.
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