document.write( "Question 1156293: Mrs. Smith is 8 years more than triple the age of her son. The difference between their ages is 20. How old is Mrs. Smith ? \n" ); document.write( "
Algebra.Com's Answer #778993 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = Mrs. Smith's age
\n" ); document.write( "Let \"+b+\" = her son's age
\n" ); document.write( "---------------------------------------
\n" ); document.write( "(1) \"+a+=+3b+%2B+8+\"
\n" ); document.write( "(2) \"+a+-+b+=+20+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) \"+3b+%2B+8+-+b+=+20+\"
\n" ); document.write( "(2) \"+2b+=+12+\"
\n" ); document.write( "(2) \"+b+=+6+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+a+-+b+=+20+\"
\n" ); document.write( "(2) \"+a+-+6+=+20+\"
\n" ); document.write( "(2) \"+a+=+26+\"
\n" ); document.write( "-----------------------
\n" ); document.write( "26 = Mrs. Smith's age
\n" ); document.write( "6 = her son's age
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+a+=+3b+%2B+8+\"
\n" ); document.write( "(1) \"+26+=+3%2A6+%2B+8+\"
\n" ); document.write( "(1) \"+26+=+26+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );