document.write( "Question 240005: 1. Adam is 3 times as old as Cynthia and Fred is 16 yrs. younger than Adam. One year ago, Adam's age was twice the sum of Chyntia's & Fred's age. Find their present age.\r
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Algebra.Com's Answer #176011 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"1. Adam is 3 times as old as Cynthia \" \n" ); document.write( "A = 3C \n" ); document.write( "or \n" ); document.write( "C = \n" ); document.write( "; \n" ); document.write( "\" Fred is 16 yrs. younger than Adam.\" \n" ); document.write( "F = A - 16 \n" ); document.write( ": \n" ); document.write( "One year ago, Adam's age was twice the sum of Chyntia's & Fred's age.\" \n" ); document.write( "A - 1 = 2(C-1 + F-1) \n" ); document.write( "Simplify and combine as much as we can \n" ); document.write( "A - 1 = 2(C + F - 2) \n" ); document.write( "A - 1 = 2C + 2F - 4 \n" ); document.write( "A = 2C + 2F - 4 + 1 \n" ); document.write( "A = 2C + 2F - 3 \n" ); document.write( "From the 1st two equations; replace C with \n" ); document.write( "A = 2( \n" ); document.write( "A = \n" ); document.write( "A = \n" ); document.write( "35 = 2 \n" ); document.write( "35 = 1 \n" ); document.write( "As an improper fraction \n" ); document.write( "35 = \n" ); document.write( "Divide 35 by (5/3) \n" ); document.write( "A = 35 * \n" ); document.write( "A = 7(3) \n" ); document.write( "A = 21 yrs old is Adam \n" ); document.write( ": \n" ); document.write( " Find their present age. \n" ); document.write( "C = \n" ); document.write( "C = 7 yrs is Cynthia \n" ); document.write( "and \n" ); document.write( "F = 21 - 16 \n" ); document.write( "F = 5 yrs is Fred \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solutions in the statement: \n" ); document.write( "\"One year ago, Adam's age was twice the sum of Cynthia's & Fred's age.\" \n" ); document.write( "20 = 2(6 + 4) \n" ); document.write( " |