document.write( "Question 1097152: in 1996 Adam was 26years old and his mother was 66 years old, in what year was adam exactly one-third of his mothers age. \n" ); document.write( "

Algebra.Com's Answer #711554 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+\"$ = mother's age when Adam was 1/3 her age
\n" ); document.write( "The difference in their ages never changes
\n" ); document.write( "The difference is:
\n" ); document.write( " $\"+66+-+26+=+40+\"$ yrs
\n" ); document.write( "------------------------
\n" ); document.write( "I can say:
\n" ); document.write( " $\"+m+-+%281%2F3%29%2Am+=+40+\"$
\n" ); document.write( " $\"+3m+-+m+=+120+\"$
\n" ); document.write( " $\"+2m+=+120+\"$
\n" ); document.write( " $\"+m+=+60+\"$
\n" ); document.write( "------------------
\n" ); document.write( " $\"+66+-+60+=+6+\"$ years before 1996
\n" ); document.write( "which was 1990
\n" ); document.write( "-----------------------------------
\n" ); document.write( "check answer:
\n" ); document.write( "When mother was 60, Adam was:
\n" ); document.write( " $\"+%281%2F3%29%2Am+=+%281%2F3%29%2A60+\"$
\n" ); document.write( " $\"+%281%2F3%29%2Am+=+20+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+60+-+20+=+40+\"$ the difference in their ages
\n" ); document.write( "is correct\r
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