document.write( "Question 622976: Paul and his brothers Ted and Al worked out one day that their father was 3 times as old as Ted. Also that, in three years time, he would be three times as old as Paul would be, and that in 6 years time he would be twice as old as Al would be. Al was two years older than Ted.
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document.write( "How old is their father?
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Algebra.Com's Answer #391775 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( "Paul and his brothers Ted and Al worked out one day that their father was 3 times as old as Ted. \n" ); document.write( "f + 3t \n" ); document.write( ": \n" ); document.write( "Also that, in three years time, he would be three times as old as Paul would be, \n" ); document.write( "f + 3 = 3(p+3) \n" ); document.write( "f + 3 = 3p + 9 \n" ); document.write( "f = 3p + 9 - 3 \n" ); document.write( "f = 3p + 6 \n" ); document.write( ": \n" ); document.write( "and that in 6 years time he would be twice as old as Al would be. \n" ); document.write( "f + 6 = 2(a+6) \n" ); document.write( "f + 6 = 2a + 12 \n" ); document.write( "f = 2a + 12 - 6 \n" ); document.write( "f = 2a + 6 \n" ); document.write( ": \n" ); document.write( "Al was two years older than Ted. \n" ); document.write( "a = t + 2 \n" ); document.write( "In the equation f = 2a + 6 replace f with 3t \n" ); document.write( "3t = 2a + 6 \n" ); document.write( "Replace a with (t+2),find t \n" ); document.write( "3t = 2(t+2) + 6 \n" ); document.write( "3t = 2t + 4 + 6 \n" ); document.write( "3t - 2t = 10 \n" ); document.write( "t = 10 yrs is Teds present age \n" ); document.write( "then \n" ); document.write( "3(10) = 30 yrs is father's age, which all they wish to know \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |