James is X years older than Alex. Alex is X years older than Kim. James is twice as old as Kim. Alex is 24. Which of the following ages is possible for James?

Respuesta :

All of them would be true so I would say the answer would be D. 
hope that helped.

Answer with explanation:

Let age of Kim = k years

Age of James = 2k years----(1)

Age of Alex = (k+x ) years

Age of James =k+x+x=(k+2 x) years-----(2)

Equating (1) and (2)

2 k= k+2 x

2k-k=2x

k=2 x

And, Alex's age=24

k+x=24----(3)

k-2x=0---(4)

Subtracting 4 from 3, we get

3 x=24

Dividing both sides by , 3 we get

x=8

Putting the value of x in equation 4, we get

k=2*8

k=16

So, James Age =2k years

               =2*16

               =32 years

Option A: 32

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