Posted by Adam on Friday, August 15, 2014 at 8:52am.
Al is twice as old as Bill, who is twice as old as Carl. In 10 years, Al will be twice as old as Carl. How old is Al now?
A. 40
B. 20
C. 10
D. 5

math  Reiny, Friday, August 15, 2014 at 8:58am
I usually start with the smallest quantity, which here is Carl's age
let Carl's age be x
then Bill is 2x
and Al is 4x
in 10 years:
Carl  x+10
Bill  2x+10
Al  4x + 10
so 4x+10 = 2(x+10)
4x + 10 = 2x + 20
2x = 10
x = 5
So now Al is 4(5) = 20
check:
present ages:
Carl  5
Bill  10
Al  20
10 years from now:
Al will be 30 and Carl will be 15
Is Al twice as old as Carl ?? YES

math  Adam, Friday, August 15, 2014 at 9:05am
thanks
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