document.write( "Question 205244This question is from textbook Mathematics in our world
\n" );
document.write( ": Dorothy is 6 years older than Ricardo. The product of their present ages is twice what the product of their ages was 6 years ago. How old is Dorothy? \n" );
document.write( "
Algebra.Com's Answer #154924 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "Let x=Dorothy's age; x-6=Dorothy's age 6 years ago \n" ); document.write( "Then x-6=Ricardo's age; x-12=Ricardo's age 6 years ago\r \n" ); document.write( "\n" ); document.write( "Now we are told that: \n" ); document.write( "x(x-6)=2(x-6)(x-12) divide each side by x-6 (assuming that x is not equal to zero) \n" ); document.write( "x=2(x-12) or \n" ); document.write( "x=2x-24 subtract 2x from each side \n" ); document.write( "x-2x=2x-2x-24 \n" ); document.write( "-x=-24 \n" ); document.write( "x=24--------------------------Dorothy's current age \n" ); document.write( "x-6=24-6=18-------------------Ricardo's current age\r \n" ); document.write( "\n" ); document.write( "CK \n" ); document.write( "24*18=2*18*12 or \n" ); document.write( "24=2*12 \n" ); document.write( "24=24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor \n" ); document.write( " |