document.write( "Question 889934: Susie is 3 times as old as lita 4 years ago.susie is 2 years older than lita how old are susie and lita? \n" ); document.write( "
Algebra.Com's Answer #538548 by josmiceli(19441)\"\" \"About 
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Let \"+S+\" = Susie's age now
\n" ); document.write( "Let \"+L+\" = Lita's age now
\n" ); document.write( "\"+L+-+4+\" = Lita's age 4 years ago
\n" ); document.write( "--------------------------------
\n" ); document.write( "Given:
\n" ); document.write( "(1) \"+S+=+3%2A%28+L+-+4+%29+\"
\n" ); document.write( "(2) \"+S+=+L+%2B+2+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "The wording of this is very important.
\n" ); document.write( "When it says \" Susie IS 3 times as old as
\n" ); document.write( "Lita 4 years ago, I assume I have
\n" ); document.write( "to use Susie's present age.
\n" ); document.write( "--------------------------
\n" ); document.write( "If it said \" Susie WAS 3 times as old as Lita
\n" ); document.write( "4 years ago, I would use Susie's age 4
\n" ); document.write( "years ago.
\n" ); document.write( "--------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) \"+L+%2B+2+=+3%2A%28+L+-+4+%29+\"
\n" ); document.write( "(1) \"+L+%2B+2++=+3L+-+12+\"
\n" ); document.write( "(1) \"+2L+=+14+\"
\n" ); document.write( "(1) \"+L+=+7+\"
\n" ); document.write( "and, since:
\n" ); document.write( "(2) \"+S+=+L+%2B+2+\"
\n" ); document.write( "(2) \"+S+=+7+%2B+2+\"
\n" ); document.write( "(2) \"+S+=+9+\"
\n" ); document.write( "Susie is 9
\n" ); document.write( "Lita is 7
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+S+=+3%2A%28+L+-+4+%29+\"
\n" ); document.write( "(1) \"+9+=+3%2A%28+7+-+4+%29+\"
\n" ); document.write( "(1) \"+9+=+3%2A3+\"
\n" ); document.write( "(1) \"+9+=+9+\"
\n" ); document.write( "OK\r
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