# SOLUTION: Claire is twice as old as her brother Derek. Ten years ago, the sum of their ages was 46. How old is each now?

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 Question 376418: Claire is twice as old as her brother Derek. Ten years ago, the sum of their ages was 46. How old is each now? Answer by vasumathi(46)   (Show Source): You can put this solution on YOUR website!Let the age of Claire = c and the age of her brother = b c = 2b ------------>(1)(since Claire is twice as old as her brother) Ten years ago the age of Claire = c-10 and the age of her brother = b-10.And the sum of these ages = 46.This implies .... c-10 + b-10 = 46 c+b-20 = 46 c+b = 46+20 (adding 20 on both sides) 2b + b = 66 (from the (1) above) 3b = 66 b = 66/3 = 22 c = 2b = 2*22 = 44 So the age of Claire = 44 years and the age of her brother = 22 years.