document.write( "Question 1087059: elsa's mother is 5 times older than her. Elsa's age 5 years from now will be one-third her mother's age. Find the present age. \n" ); document.write( "

Algebra.Com's Answer #701344 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+\"$ = Elsa's mother's age now
\n" ); document.write( "Let $\"+e+\"$ = Elsa's age now
\n" ); document.write( "------------------------------------
\n" ); document.write( "(1) $\"+m+=+5e+\"$
\n" ); document.write( "(2) $\"+e+%2B+5+=+%281%2F3%29%2A%28+m+%2B+5+%29+\"$
\n" ); document.write( "------------------------------------
\n" ); document.write( "(2) $\"+3%2A%28+e+%2B+5+%29+=+m+%2B+5+\"$
\n" ); document.write( "(2) $\"+3e+%2B+15+=+m+%2B+5+\"$
\n" ); document.write( "(2) $\"+m+-+3e+=+10+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+5e+-+3e+=+10+\"$
\n" ); document.write( "(2) $\"+2e+=+10+\"$
\n" ); document.write( "(2) $\"+e+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+m+=+5e+\"$
\n" ); document.write( "(1) $\"+m+=+5%2A5+\"$
\n" ); document.write( "(1) $\"+m+=+25+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Elsa is 5 and her mother is 25
\n" ); document.write( "--------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+e+%2B+5+=+%281%2F3%29%2A%28+m+%2B+5+%29+\"$
\n" ); document.write( "(2) $\"+5+%2B+5+=+%281%2F3%29%2A%28+25+%2B+5+%29+\"$
\n" ); document.write( "(2) $\"+10+=+%281%2F3%29%2A30+\"$
\n" ); document.write( "(2) $\"+10+=+10+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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