document.write( "Question 845923: A mom is 5 times older then here daughter. 3 years before she was 8 times older. How old is the mother and the daughter? \n" ); document.write( "

Algebra.Com's Answer #509481 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+\"$ = the mom's age now
\n" ); document.write( "Let $\"+d+\"$ = the daughter's age now
\n" ); document.write( "----------------------
\n" ); document.write( "(1) $\"+m+=+5d+\"$
\n" ); document.write( "(2) $\"+m+-+3+=+8%2A%28+d+-+3+%29+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+5d+-+3+=+8%2A%28+d+-+3+%29+\"$
\n" ); document.write( "(2) $\"+5d+-+3+=+8d+-+24+\"$
\n" ); document.write( "(2) $\"+3d+=+24+-+3+\"$
\n" ); document.write( "(2) $\"+3d+=+21+\"$
\n" ); document.write( "(2) $\"+d+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+m+=+5d+\"$
\n" ); document.write( "(1) $\"+m+=+5%2A7+\"$
\n" ); document.write( "(1) $\"+m+=+35+\"$
\n" ); document.write( "The mother is 35
\n" ); document.write( "The daughter is 7
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+m+-+3+=+8%2A%28+d+-+3+%29+\"$
\n" ); document.write( "(2) $\"+35+-+3+=+8%2A%28+7+-+3+%29+\"$
\n" ); document.write( "(2) $\"+32+=+8%2A4+\"$
\n" ); document.write( "(2) $\"+32+=+32+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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