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Sum Place (Posted on 2005-03-07) Difficulty: 3 of 5
If the following are true relationships:

PANAMA + JAPAN = 5
FIJI + CUBA = 7
SWEDEN + NORWAY = 9
AUSTRIA + AUSTRALIA = 7

Then what is the corresponding value for:

CANADA + UNITED STATES = ?

See The Solution Submitted by DJ    
Rating: 3.0000 (5 votes)

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Solution answer Comment 4 of 4 |

Let X denote a given word, and let:
n(X) = The total number of distinct letters (of the english alphabet) in X.

In the given problem, for pairs (X,Y) the end result for each given sum is equal to n(X U Y), where X U Y denotes the union between X and Y.

For example, when (X,Y) = (PANAMA, JAPAN), we observe that : n(X U Y) = 5

Now the distinct letters corresponding to XUY, when (X,Y) = (CANADA, UNITED STATES) are: C, A, N, D, U, I, T, E, S giving:
n ('CANADA', 'UNITED STATES') = 9.

Consequently, we must have:
CANADA + UNITED STATES = 9


  Posted by K Sengupta on 2007-11-05 23:45:02
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