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 followi
ng ages is possible for James?
2 answers:
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
All of them would be true so I would say the answer would be D.
hope that helped.
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