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 AMY and ANN (Posted on 2013-07-26)
```+-----+-----+-----+-----+-----+
| WAS | NOW | WAS | OLD | WAS |
+-----+-----+-----+-----+-----+
| AS  | AMY | ANN | HALF| AS  |
+-----+-----+-----+-----+-----+
| IS  |  A  | OLD |  IS |WHEN |
+-----+-----+-----+-----+-----+
| AS  | AMY | ANN |THIRD| AS  |
+-----+-----+-----+-----+-----+```
You can make a 20 word sentence about the ages of Amy and Ann by following the jumps of a chess knight from word to word in the above diagram.

Given that Amy is in her teens, and each of the ages of Amy and Ann is expressible in integer number of years, how old is each of Amy and Ann?

Note: No cell can be visited more than once.

 No Solution Yet Submitted by K Sengupta Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): Correction (PARTIAL SOLUTION) | Comment 4 of 5 |
(In reply to re: Correction (PARTIAL SOLUTION) by Jyqm)

If Ann is now half as old as Amy was when Ann was a third as old as Amy is now:

m = Amy's age now
n = Ann's age now

Ann was 1/3 as old as Amy is now (n - m/3) years ago.

So

n = (1/2)*(m - (n - m/3))
2n = m + m/3 - n
3n = 4m/3
9n = 4m
n = 4m/9

Amy is 18 and Ann is 8.

Check:

1/3 Amy's Age = 6.
Ann was 6 2 years ago.
Amy was 16 2 years ago.
Ann is indeed 1/2 of 16.

 Posted by Charlie on 2013-07-28 14:49:42

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