Question 1198730
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As pointed out by some of the other tutors, the phrase "four times older than" should never be used in the statement of a math problem, because most people think it means something different than it really means.<br>
If one person's age is x and another person is four times older than the first, then the age of the second person is x, PLUS 4 times x -- i.e., x+4x = 5x.<br>
Unfortunately, in everyday usage, the phrase is used to mean that the age of the second person is 4x.  But that is grammatically incorrect.<br>
So in this problem the intended information is that Amelia is 4 times AS OLD AS her brother.<br>
Then, since Amelia is 16, Theodore's age is 16/4 = 4.  The difference in their ages is then 16-4 = 12 years.<br>
Since the difference in their ages will always be 12 years, when Amelia is twice as old as Theodore she will be 24 and he will be 12.<br>
ANSWER: 24<br>