document.write( "Question 1096491: the sum of the age in years of son and his father is 35 and the product of their age is 150 find their age\r
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Algebra.Com's Answer #710920 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"F%2BS=35\"$
\n" ); document.write( "2. $\"F%2AS=150\"$
\n" ); document.write( "From 1,
\n" ); document.write( " $\"F=35-S\"$
\n" ); document.write( "Substituting into 2,
\n" ); document.write( " $\"%2835-S%29S=150\"$
\n" ); document.write( " $\"35S-S%5E2=150\"$
\n" ); document.write( " $\"S%5E2-35S%2B150=0\"$
\n" ); document.write( " $\"%28S-30%29%28S-5%29=0\"$
\n" ); document.write( "Two possible solutions:
\n" ); document.write( " $\"S-30=0\"$
\n" ); document.write( " $\"S=30\"$
\n" ); document.write( "and
\n" ); document.write( " $\"S-5=0\"$
\n" ); document.write( " $\"S=5\"$
\n" ); document.write( "Checking for F,
\n" ); document.write( " $\"F%2B30=35\"$
\n" ); document.write( " $\"F=5\"$
\n" ); document.write( "Since the father must be older than the son this solution is not valid,.
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"F%2B5=35\"$
\n" ); document.write( " $\"F=30\"$
\n" ); document.write( "This solution makes sense,
\n" ); document.write( " $\"F=30\"$
\n" ); document.write( " $\"S=5\"$
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