document.write( "Question 376418: Claire is twice as old as her brother Derek. Ten years ago, the sum of their ages was 46. How old is each now? \n" ); document.write( "
Algebra.Com's Answer #267819 by vasumathi(46)![]() ![]() ![]() You can put this solution on YOUR website! Let the age of Claire = c and the age of her brother = b\r \n" ); document.write( "\n" ); document.write( "c = 2b ------------>(1)(since Claire is twice as old as her brother) \n" ); document.write( "Ten years ago the age of Claire = c-10 and the age of her brother = b-10.And the \n" ); document.write( "sum of these ages = 46.This implies .... \n" ); document.write( "c-10 + b-10 = 46 \n" ); document.write( "c+b-20 = 46 \n" ); document.write( "c+b = 46+20 (adding 20 on both sides) \n" ); document.write( "2b + b = 66 (from the (1) above) \n" ); document.write( "3b = 66 \n" ); document.write( "b = 66/3 = 22 \n" ); document.write( "c = 2b = 2*22 = 44 \n" ); document.write( "So the age of Claire = 44 years \n" ); document.write( "and the age of her brother = 22 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |