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Math Puzzles

How Old Are the Three Brothers?

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Three brothers, Alan, Brian and Chuck are all different ages. They each do strange things with numbers, that is, instead of saying the actual number, they change it in a certain way first.

One brother divides the number in half.

Another brother squares the number.

The third brother reverses the digits. (21 becomes 12, 50 and also 5 become 5)

When they were asked their ages, the oldest whispered his "age" to the thinnest, who whispered it to Chuck, who whispered it to the youngest, who answered: 27.

Then the youngest whispered his "age" to the tallest, who whispered it to Brian, who whispered it to the shortest, who answered: 23

Lastly, the youngest whispered his "age" to the shortest, who whispered it to the thinnest, who whispered it to Alan, who answered: 16.

What are the ages of the three brothers?

Thank you New Scientist

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