# SOLUTION: The sum of the ages of Art, Ben, and Cal is 59. Art is 1 year older than Cal, Cal is 1 year younger than Ben. Which of these people were teenagers 7 years ago?

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 Click here to see ALL problems on Rational-functions Question 150905: The sum of the ages of Art, Ben, and Cal is 59. Art is 1 year older than Cal, Cal is 1 year younger than Ben. Which of these people were teenagers 7 years ago?Found 2 solutions by ankor@dixie-net.com, mangopeeler07:Answer by ankor@dixie-net.com(15638)   (Show Source): You can put this solution on YOUR website!Write an equation for each statement: : "The sum of the ages of Art, Ben, and Cal is 59." a + b + c = 59 : "Art is 1 year older than Cal," a = c + 1 : "Cal is 1 year younger than Ben." c = b - 1 or b = c + 1 ; Substitute for a and b and find in the total age equation, find c (c+1) + (c+1) + c = 59 3c + 2 = 59 3c = 59 - 2 c = c = 19 yrs : a = 20; b = 20 : Which of these people were teenagers 7 years ago? : c would be 12, a & b would be teenagers Answer by mangopeeler07(462)   (Show Source): You can put this solution on YOUR website!Art=a Ben=b Cal=c a=b a=c+1 c+1+c+1+c=59 3c+2=59 3c=57 c=19 Cal is a teen now. Subtract 7. 19-7=12 Cal was 12 Art was 13 Ben was 13 Art and Ben were teenagers 7 years ago.