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Joan is 32. Jane is 28. Jean is 16.

Answer: (1) Jean + 12 = Jane

(2) Joan = 2Jean

(3) Joan = Jane + 4 Combine (2) and (3):

2Jean = Jane + 4 Substitute for Jane from (1):

2Jean = (Jean + 12) + 4

Jean = 16

Then:

Jane = 28 (from 1)

Joan = 32 (from 2)

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Q: Joan and Jane are sisters. Jean is Joan's daughter and 12 years younger than her aunt. Joan is twice as old as Jean. Four years ago Joan was the same age as Jane is now. How old is each of them?
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