document.write( "Question 913039: A mother is 15 years older than twice her daughter's age. if the difference of their ages is 32, how old is each person? \n" ); document.write( "

Algebra.Com's Answer #554259 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+%7D%7D%5D+=+mother%27s+age%0D%0ALet+%7B%7B%7B+d+\"$ = daughter's age
\n" ); document.write( "------------------------
\n" ); document.write( "(1) $\"+m+=+2d+%2B+15+\"$
\n" ); document.write( "(2) $\"+m+=+d+%2B+32+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "By substitution:
\n" ); document.write( "(1) $\"+d+%2B+32+=+2d+%2B+15+\"$
\n" ); document.write( "(1) $\"+d+=+32+-+15+\"$
\n" ); document.write( "(1) $\"+d+=+17+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+m+=+d+%2B+32+\"$
\n" ); document.write( "(2) $\"+m+=+49+\"$
\n" ); document.write( "---------------
\n" ); document.write( "The mother is 49 and the daughter is 17
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+m+=+2d+%2B+15+\"$
\n" ); document.write( "(1) $\"+49+=+2%2A17+%2B+15+\"$
\n" ); document.write( "(1) $\"+49+=+34+%2B+15+\"$
\n" ); document.write( "(1) $\"+49+=+49+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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