document.write( "Question 276438: Two Questions : \r
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document.write( "Cody is Twice as old as Evan. Three years ago the sum of their ages was 27. Find the age of each boy. \r
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document.write( "Jack is twice as old as Lacy. In Three years the sum of their age will be 54. How old are they now. \r
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document.write( "Your help is greatly appreciated :D \n" );
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Algebra.Com's Answer #201450 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! C = Cody's age \n" ); document.write( "E = Evan's age \n" ); document.write( "C = 2E :: Cody is twice as old as Evan. \n" ); document.write( "Three years ago can be shown as: \n" ); document.write( "C -3 = Cody's age 3 years ago \n" ); document.write( "E -3 = Evan's age 3 years ago \n" ); document.write( "C-3 + E-3 = 27 :: Given \n" ); document.write( "C + E = 33 \n" ); document.write( "Substituting C = 2E \n" ); document.write( "2E + E = 33 \n" ); document.write( "3E = 33 \n" ); document.write( "E = 11 \n" ); document.write( "Therefore \n" ); document.write( "C = 2E = 22 \n" ); document.write( "How old were they 3 years ago? \n" ); document.write( "C-3 = 19 \n" ); document.write( "E-3 = 8 \n" ); document.write( "Was the sum of their ages 27 back then? \n" ); document.write( "19 + 8 = 27 ?? \n" ); document.write( "Yes. \n" ); document.write( "Answer: \n" ); document.write( "Cody's age is 22. \n" ); document.write( "Evan's age is 11. \n" ); document.write( ". \n" ); document.write( "J = Jack's age \n" ); document.write( "L = Lacy's age \n" ); document.write( "J = 2L \n" ); document.write( "In three years, their ages will be: \n" ); document.write( "J+3 and L+3 \n" ); document.write( "Then the sum will be 54. \n" ); document.write( "J+3 + L+3 = 54 \n" ); document.write( "J + L = 48 \n" ); document.write( "Substitue J = 2L \n" ); document.write( "2L + L = 48 \n" ); document.write( "3L = 48 \n" ); document.write( "L = 16 \n" ); document.write( "J = 2L = 2(16) = 32 \n" ); document.write( "How old will they be in 3 years? \n" ); document.write( "J = 35 \n" ); document.write( "L = 19 \n" ); document.write( "Will the sum of their ages be 54 then? \n" ); document.write( "35 + 19 = 54 ?? \n" ); document.write( "Yes. \n" ); document.write( "Answer: \n" ); document.write( "Jack's age is 32 and Lacy's age is 16. \n" ); document.write( ". \n" ); document.write( "Done \n" ); document.write( " |