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?

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.

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