document.write( "Question 1094638: The sum of Bob and Carol's age now is 100. Sixteen years ago, Bob was three times as old as
\n" ); document.write( "Carol. How old was Bob when Carol was born?
\n" ); document.write( "

Algebra.Com's Answer #709192 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+b+\" = Bob's age now
\n" ); document.write( "Let \"+c+\" = Carol's age now
\n" ); document.write( "------------------------------
\n" ); document.write( "(1) \"+b+%2B+c+=+100+\"
\n" ); document.write( "(2) \"+b+-+16+=+3%2A%28+c+-+16+%29+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(2) \"+b+-+16+=+3c+-+48+\"
\n" ); document.write( "(2) \"+-b+%2B+3c+=+32+\"
\n" ); document.write( "(1) \"+b+%2B+c+=+100+\"
\n" ); document.write( "------------------------
\n" ); document.write( "\"+4c+=+132+\"
\n" ); document.write( "\"+c+=+33+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+b+=+100+-+c+\"
\n" ); document.write( "(1) \"+b+=+100+-+33+\"
\n" ); document.write( "(1) \"+b+=+67+\"
\n" ); document.write( "------------------------
\n" ); document.write( "The difference in their ages never changes
\n" ); document.write( "The difference is: \"+67+-+33+=+34+\" yrs
\n" ); document.write( "When Carol was born, \"+c+-+33+=+0+\"
\n" ); document.write( "and Bob's age was \"+0+%2B+34+=+34+\" yrs old\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );