document.write( "Question 1058227: The sum of the ages of three sisters is 78 years. The second sister is eighteen years less than twice the first sister's age. The third sister is eight years older than the first sister. How old are the sisters? \n" ); document.write( "
Algebra.Com's Answer #673260 by josmiceli(19441)\"\" \"About 
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Let the sister's age be
\n" ); document.write( "\"+a+\", \"+b+\", and \"+c+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) \"+a+%2B+b+%2B+c+=+78+\"
\n" ); document.write( "(2) \"+b+=+2a+-+18+\"
\n" ); document.write( "(3) \"+c+=+a+%2B+8+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "Substitute (2) and (3) into (1)
\n" ); document.write( "(1) \"+a+%2B+b+%2B+c+=+78+\"
\n" ); document.write( "(1) \"+a+%2B+2a+-+18+%2B+a+%2B+8+=+78+\"
\n" ); document.write( "(1) \"+4a+-+10+=+78+\"
\n" ); document.write( "(1) \"+4a+=+88+\"
\n" ); document.write( "(1) \"+a+=+22+\"
\n" ); document.write( "------------------
\n" ); document.write( "(2) \"+b+=+2a+-+18+\"
\n" ); document.write( "(2) \"+b+=+2%2A22+-+18+\"
\n" ); document.write( "(2) \"+b+=+44+-+18+\"
\n" ); document.write( "(2) \"+b+=+26+\"
\n" ); document.write( "-------------------
\n" ); document.write( "(3) \"+c+=+a+%2B+8+\"
\n" ); document.write( "(3) \"+c+=+22+%2B+8+\"
\n" ); document.write( "(3) \"+c+=+30+\"
\n" ); document.write( "-------------------
\n" ); document.write( "The sisters are 22, 26, and 30
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+a+%2B+b+%2B+c+=+78+\"
\n" ); document.write( "(1) \"+22+%2B+26+%2B+30+=+78+\"
\n" ); document.write( "(1) \"+78+=+78+\"
\n" ); document.write( "OK\r
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