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Lets start with options.

A) Carrie = 5, Tom = 15. But 5 years ago, Carrie = 0, so no relation possible. Eliminated.

B) Carrie = 10, Tom = 20. But this is already twice of Carrie's age. So 5 years ago same ratio is not possible. Eliminated.

C) Carrie = 12, Tom = 22. 5 years ago, Carrie = 7, Tom = 17. But this is not twice. Eliminated.

D) Carrie = 15, Tom = 25. 5 years ago, Carrie = 10, Tom = 20. This is twice. This option is Correct.

E) Carrie = 25, Tom = 35. 5 years ago, Carrie = 20, Tom = 30. Not twice. Eliminated.

Hence D is answer
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Let the age of Carrie= X
............age of Tom= X+10

5 years ago

2(X-5)= (X+10-5)
2(X-5)= X+5
2X-10= X+5
X=15

So Age of Carrie is 15 years

Answer: D.

Kudos please if you like my explanation!
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Now
Tom\((x+10)\)
Charlie \((x)\)

Five years ago (now -5)
Tom \((10+x) - 5\) Charlie \((x-5)\)

We are told that five years ago, Tom was twice as old as Charlie was. Therefore,\((10+x)-5=2(x-5)\) and \(x+5=2x-10 ==> x=15\)
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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