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 #74560 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let C = Cheryl's present age and B = Brad's present age. \n" ); document.write( "From the problem description, you can write: \n" ); document.write( "1) C = 2B+13 \"Cheryl is 13 years more than twice as old as Brad\" \n" ); document.write( "2) (C+11) + (B+11) = 92 \"In 11 years the sum of their ages will be 92\" \n" ); document.write( "Substitute the C= 2B+13 from equation 1) into equation 2) and solve for B. \n" ); document.write( "2a) (2B+13)+11 +B+11 = 92 Simplify. \n" ); document.write( "3B+35 = 92 Subtract 35 from both sides. \n" ); document.write( "3B = 57 Divide both sides by 3. \n" ); document.write( "B = 19 This is Brad's present age. Use equation 1) to find Cheryl's present age. \n" ); document.write( "C = 2B+13 \n" ); document.write( "C = 2(19)+13 \n" ); document.write( "C = 38+13 \n" ); document.write( "C = 51 This is Cheryl's present age. \n" ); document.write( " |