document.write( "Question 1050652: When a really smart kid was asked about his mother's age, he said: \"i am a fifth as old as my mother. In six years i will be one third as old\"
\n" ); document.write( "How old iss the kid and his mother? \n" ); document.write( "

Algebra.Com's Answer #666221 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = kid's present age
\n" ); document.write( "Let $\"+b+\"$ = mother's present age
\n" ); document.write( "--------------------------------
\n" ); document.write( "(1) $\"+a+=+%281%2F5%29%2Ab+\"$
\n" ); document.write( "(2) $\"+a+%2B+6+=+%281%2F3%29%2A%28+b+%2B+6+%29+\"$
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) $\"+b+=+5a+\"$
\n" ); document.write( "(2) $\"+3a+%2B+18+=+b+%2B+6+\"$
\n" ); document.write( "(2) $\"+b+=+3a+%2B+12+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+5a+=+3a+%2B+12+\"$
\n" ); document.write( "(2) $\"+2a+=+12+\"$
\n" ); document.write( "(2) $\"+a+=+6+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+b+=+5a+\"$
\n" ); document.write( "(1) $\"+b+=+5%2A6+\"$
\n" ); document.write( "(1) $\"+b+=+30+\"$
\n" ); document.write( "----------------
\n" ); document.write( "The kid is 6
\n" ); document.write( "The mother is 30
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+%2B+6+=+%281%2F3%29%2A%28+b+%2B+6+%29+\"$
\n" ); document.write( "(2) $\"+6+%2B+6+=+%281%2F3%29%2A%28+30+%2B+6+%29+\"$
\n" ); document.write( "(2) $\"+12+=+%281%2F3%29%2A36+\"$
\n" ); document.write( "(2) $\"+36+=+36+\"$
\n" ); document.write( "OK \n" ); document.write( "

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