document.write( "Question 1070685: Kevin's present age is 1/3 his mother's present age if the mother's age was five times his age 6 years ago what are their ages ? \n" ); document.write( "

Algebra.Com's Answer #685809 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Kevin's present age is 1/3 his mother's present age
\n" ); document.write( "k = $\"1%2F3\"$ m
\n" ); document.write( "get rid of the fraction, multiply both sides by 3
\n" ); document.write( "3k = m
\n" ); document.write( ":
\n" ); document.write( "if the mother's age was five times his age 6 years ago
\n" ); document.write( "m - 6 = 5(k-6)
\n" ); document.write( "m - 6 = 5k - 30
\n" ); document.write( "m = 5k - 30 + 6
\n" ); document.write( "m = 5k - 24
\n" ); document.write( "replace m with 3k from the first statement
\n" ); document.write( "3k = 5k - 24
\n" ); document.write( "3k - 5k = -24
\n" ); document.write( "-2k = -24
\n" ); document.write( " k = -24/-2
\n" ); document.write( " k = +12 yrs is Kevin's age
\n" ); document.write( ":
\n" ); document.write( " what are their ages ?
\n" ); document.write( "m = 3(12)
\n" ); document.write( "m = 36 yrs is Mom's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm these solution in the statement
\n" ); document.write( "\" the mother's age was five times his age 6 years ago\"
\n" ); document.write( "36 - 6 = 5(12 - 6)
\n" ); document.write( "30 = 5(6)
\n" ); document.write( " \n" ); document.write( "

\n" );