SOLUTION: Brad is 7 more than 2 times as old as Ben. In 23 years the sum of their ages will be 83. How old is Ben now?

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Question 387932: Brad is 7 more than 2 times as old as Ben. In 23 years the sum of their ages will be 83. How old is Ben now?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

Let x and (2x+7)represent Ben's and Brad's age NOW.

In 23 years...***

 (x+23) + [(2x+7) + 23] = 83

solving for x

 x+ 23 + 2x + 30 = 83

    3x + 53 = 83

         3x = 30

          x = 10, Ben's age NOW.  (Brad is now 27)



CHECKING our Answer***

 33 + 50 = 83