document.write( "Question 1085263: Jan is 7 years older than Anna. How old are Jan and Anna, respectively, if double the sum of their combined ages is 66? \n" ); document.write( "

Algebra.Com's Answer #699328 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Jan's age now
\n" ); document.write( "Let $\"+b+\"$ = Anna's age now
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+a+=+b+%2B+7+\"$
\n" ); document.write( "(2) $\"+2%2A%28+a+%2B+b+%29+=+66+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) $\"+2a+%2B+2b+=+66+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+33+\"$
\n" ); document.write( "Plug (1) into (2)
\n" ); document.write( "(2) $\"+b+%2B+7+%2B+b+=+33+\"$
\n" ); document.write( "(2) $\"+2b+=+26+\"$
\n" ); document.write( "(2) $\"+b+=+13+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+b+%2B+7+\"$
\n" ); document.write( "(1) $\"+a+=+13+%2B+7+\"$
\n" ); document.write( "(1) $\"+a+=+20+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Jan is 20
\n" ); document.write( "Anna is 13
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( "Jan is 7 years older than Anna.
\n" ); document.write( "TRUE
\n" ); document.write( "double the sum of their combined ages is 66
\n" ); document.write( " $\"+2%2A%28+20+%2B+13+%29+=+66+\"$
\n" ); document.write( " $\"+2%2A33+=+66+\"$
\n" ); document.write( " $\"+66+=+66+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );