document.write( "Question 102517: Please helpe me solve this math problem: \r
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document.write( "Cheryl is thirteen years more than twice as old as Brad. In 11 years the sum of thire ages will be 92. How old is Cheryl now? \n" );
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Algebra.Com's Answer #74561 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! Brad is the youngest, so let his age be x. That means Cheryl is 2x+13 years old.\r \n" ); document.write( "\n" ); document.write( "In 11 years Brad will be x + 11 years old. Cheryl will be 2x+13+11=2x+24 years old. We also know their ages will sum to 92 at that time, so:\r \n" ); document.write( "\n" ); document.write( "x+11+2x+24=92 \n" ); document.write( "Simplifying we have: \n" ); document.write( "3x+35=92 \n" ); document.write( "Subtracting 35 from both sides: \n" ); document.write( "3x=57 \n" ); document.write( "Dividing by 3: \n" ); document.write( "x=19\r \n" ); document.write( "\n" ); document.write( "So, Brad is 19 and Cheryl is 2(19)+13=38+13=51. \r \n" ); document.write( "\n" ); document.write( "In 11 years, Brad will be 30 and Cheryl will be 62.\r \n" ); document.write( "\n" ); document.write( "Checking, we findthat 30+62=92, which is the required check. \n" ); document.write( " |