document.write( "Question 754154: At present , Micheals age is 7x that of his son, Brodie. If Micheal's age was 36 when Brodie was born, how old are they now? \n" ); document.write( "

Algebra.Com's Answer #458853 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+\"$ = Michael's age now
\n" ); document.write( "Let $\"+b+\"$ = Brodie's age now
\n" ); document.write( "--------------------------
\n" ); document.write( "The difference in their ages never changes, so
\n" ); document.write( " $\"+m+=+b+%2B+36+\"$
\n" ); document.write( " $\"+m+=+7b+\"$
\n" ); document.write( "-------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+7b+=+b+-+36+\"$
\n" ); document.write( " $\"+6b+=+36+\"$
\n" ); document.write( " $\"+b+=+6+\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"+m+=+b+%2B+36+\"$
\n" ); document.write( " $\"+m+=+6+%2B+36+\"$
\n" ); document.write( " $\"+m+=+42+\"$
\n" ); document.write( "42 = Michael's age now
\n" ); document.write( "6 = Brodie's age now
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+m+=+7b+\"$
\n" ); document.write( " $\"+42+=+7%2A6+\"$
\n" ); document.write( " $\"+42+=+42+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+m+=+b+%2B+36+\"$
\n" ); document.write( " $\"+42+=+6+%2B+36+\"$
\n" ); document.write( " $\"+42+=+42+\"$
\n" ); document.write( "OK \n" ); document.write( "

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