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Determine the age of a boy and his sister

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A boy and his sister are sitting around the kitchen table chatting.

"You know, Sis, if I took away two years from my age and gave them to you, you'd be twice my age, huh!"
"Well, why don't you just give me one more on top of that? Then I'll be three times your age."

So just how old is each sibling?

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Solution Summary

It is brief step by step solution that first converts the given conversation statements to mathematical equations and then solves them.

Solution Preview

Let boy be B years old and his big sister be S years old currently.
We can translate the conversation statements into mathematical equations as shown below.

"You know, Sis, if I took away two years from my age ...

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