document.write( "Question 1012091: Maria is now 3 years younger than her sister, Ann. Four years ago, Maria’s age was one-half Anna’s age. How old is each girl now? \n" ); document.write( "
Algebra.Com's Answer #627941 by josmiceli(19441)\"\" \"About 
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Let \"+m+\" = Maria's age now
\n" ); document.write( "Let \"+a+\" = Anna's age now
\n" ); document.write( "-------------------------
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+m+=+a+-+3+\"
\n" ); document.write( "(2) \"+m+-+4+=+%28+1%2F2+%29%2A%28+a+-+4+%29+\"
\n" ); document.write( "---------------------------
\n" ); document.write( "I will substitute (1) into (2)
\n" ); document.write( "(2) \"+a+-+3+-+4+=+%28+1%2F2+%29%2A%28+a+-+4+%29+\"
\n" ); document.write( "(2) \"+a+-+7+=+%281%2F2%29%2A%28+a+-+4+%29+\"
\n" ); document.write( "(2) \"+2%28+a+-+7+%29+=+a+-+4+\"
\n" ); document.write( "(2) \"+2a+-+14+=+a+-+4+\"
\n" ); document.write( "(2) \"+a+=+14+-+4+\"
\n" ); document.write( "(2) \"+a+=+10+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+m+=+a+-+3+\"
\n" ); document.write( "(1) \"+m+=+10+-+3+\"
\n" ); document.write( "(1) \"+m+=+7+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Maria is 7 and Anna is 10
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+m+-+4+=+%28+1%2F2+%29%2A%28+a+-+4+%29+\"
\n" ); document.write( "(2) \"+7+-+4+=+%28+1%2F2+%29%2A%28+10+-+4+%29+\"
\n" ); document.write( "(2) \"+3+=+%281%2F2%29%2A6+\"
\n" ); document.write( "(2) \"+6+=+6+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+m+=+a+-+3+\"
\n" ); document.write( "(1) \"+7+=+10+-+3+\"
\n" ); document.write( "(1) \"+7+=+7+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );