document.write( "Question 935902: a mother was 26 years old when her daughter ws born. the mother is now 6 years less than 3 times as old as her daughter. How old is the daughter now? \n" ); document.write( "

Algebra.Com's Answer #569277 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+\"$ = the mother's age now
\n" ); document.write( "Let $\"+d+\"$ = the daughter's age now
\n" ); document.write( "--------------------------------
\n" ); document.write( "The difference in their ages never changes
\n" ); document.write( "It is $\"+m+-+d+\"$
\n" ); document.write( "In terms of their present ages,
\n" ); document.write( "(1) $\"+m+-+d+=+26+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Also given is:
\n" ); document.write( "(2) $\"+m+=+3d+-+6+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+3d+-+6+-+d+=+26+\"$
\n" ); document.write( "(1) $\"+2d+=+32+\"$
\n" ); document.write( "(1) $\"+d+=+16+\"$
\n" ); document.write( "The daughter is 16 now
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+m+-+d+=+26+\"$
\n" ); document.write( "(1) $\"+m+-+16+=+26+\"$
\n" ); document.write( "(1) $\"+m+=+42+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+m+=+3d+-+6+\"$
\n" ); document.write( "(2) $\"+42+=+3%2A16+-+6+\"$
\n" ); document.write( "(2) $\"+42+=+48+-+6+\"$
\n" ); document.write( "(2) $\"+42+=+42+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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