document.write( "Question 726059: Louis is 3 times as old as Mackenzie.In 8 years their ages will be 100.How old are they now?
\n" ); document.write( "Answer with steps please!! \n" ); document.write( "

Algebra.Com's Answer #444465 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Louis's age now
\n" ); document.write( "Let $\"+b+\"$ = Mackenzie's age now
\n" ); document.write( " $\"+a+%2B+8+\"$ = Louis's age in 8 years
\n" ); document.write( " $\"+b+%2B+8+\"$ = Mackenzie's age in 8 years
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+=+3b+\"$
\n" ); document.write( "(2) $\"+a+%2B+8+%2B+b+%2B+8+=+100+\"$
\n" ); document.write( "-------------------------
\n" ); document.write( "(2) $\"+a+%2B+b+%2B+16+=+100+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+84+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+3b+%2B+b+=+84+\"$
\n" ); document.write( "(2) $\"+4b+=+84+\"$
\n" ); document.write( "(2) $\"+b+=+21+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+a+=+3b+\"$
\n" ); document.write( "(1) $\"+a+=+3%2A21+\"$
\n" ); document.write( "(1) $\"+a+=+63+\"$
\n" ); document.write( "Louis is 63 and Mackenzie is 21
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+%2B+b+%2B+16+=+100+\"$
\n" ); document.write( "(2) $\"+63+%2B+21+%2B+16+=+100+\"$
\n" ); document.write( "(2) $\"+100+=+100+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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