document.write( "Question 1059955: Sally is 8 years older than john. John is 14 years older than Karen. If the sum of their ages is 90, how old are they? \n" ); document.write( "

Algebra.Com's Answer #675004 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Sally's age now
\n" ); document.write( "Let $\"+b+\"$ = John's age now
\n" ); document.write( "Let $\"+c+\"$ = Karen's age now
\n" ); document.write( "------------------------------
\n" ); document.write( "(1) $\"+a+=+b+%2B+8+\"$
\n" ); document.write( "(2) $\"+b+=+c+%2B+14+\"$
\n" ); document.write( "(3) $\"+a+%2B+b+%2B+c+=+90+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) $\"+c+=+b+-+14+\"$
\n" ); document.write( "Plug (1) and (2) into (3)
\n" ); document.write( "(3) $\"+b+%2B+8+%2B+b+%2B+b+-+14+=+90+\"$
\n" ); document.write( "(3) $\"+3b+-+6+=+90+\"$
\n" ); document.write( "(3) $\"+3b+=+96+\"$
\n" ); document.write( "(3) $\"+b+=+32+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+b+%2B+8+\"$
\n" ); document.write( "(1) $\"+a+=+32+%2B+8+\"$
\n" ); document.write( "(1) $\"+a+=+40+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+c+=+b+-+14+\"$
\n" ); document.write( "(2) $\"+c+=+32+-+14+\"$
\n" ); document.write( "(2) $\"+c+=+18+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "Sally is 40
\n" ); document.write( "John is 32
\n" ); document.write( "Karen is 18
\n" ); document.write( "--------------
\n" ); document.write( "check:
\n" ); document.write( "(3) $\"+a+%2B+b+%2B+c+=+90+\"$
\n" ); document.write( "(3) $\"+40+%2B+32+%2B+18+=+90+\"$
\n" ); document.write( "(3) $\"+90+=+90+\"$
\n" ); document.write( "OK \n" ); document.write( "

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