document.write( "Question 186080This question is from textbook Holt Algebra 1
\n" ); document.write( ": The sum of Anji's age and Carol's age is 66. Carol's age is 2 more than 3 times Anji's age. How old are Carol and Anji? \n" ); document.write( "

Algebra.Com's Answer #139524 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = Anji's age
\n" ); document.write( "Let $\"c\"$ = Carol's age
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"a+%2B+c+=+66\"$
\n" ); document.write( "(2) $\"c+=+3a+%2B+2\"$
\n" ); document.write( "Subtract $\"3a\"$ from both sides of (2)
\n" ); document.write( "(2) $\"-3a+%2B+c+=+2\"$
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "(1) $\"a+%2B+c+=+66\"$
\n" ); document.write( "(2) $\"-%28-3a%29+-+c+=+-2\"$
\n" ); document.write( "(3) $\"4a+=+64\"$
\n" ); document.write( "(3) $\"a+=+16\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"a+%2B+c+=+66\"$
\n" ); document.write( "(1) $\"16+%2B+c+=+66\"$
\n" ); document.write( "(1) $\"c+=+50\"$
\n" ); document.write( "Anji's age is 16, and Carol's age is 50
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"c+=+3a+%2B+2\"$
\n" ); document.write( "(2) $\"50+=+3%2A16+%2B+2\"$
\n" ); document.write( "(2) $\"50+=+48+%2B+2\"$
\n" ); document.write( "(2) $\"50+=+50\"$
\n" ); document.write( "OK \n" ); document.write( "

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