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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