# Numbers and Countries

The relations given below. According to these values, solve the last relationship.

Germany - Kenya = 7

Mexico - Brazil = 9

Turkey - Australia = 18

Norway - Ghana = 7

Korea - Japan = 1

Ethiopia - Colombia = 15

Portugal - Uruguay = ?

I have no clue at all. I thought of geographic side but could not find anything to come close to solve this.

• Hey there! If this question is not yours, could you please tell us where you found it? Questions without attribution may end up being deleted.
– ffao
Commented Mar 2, 2018 at 6:37
• A friend of mine sent it to me. Commented Mar 2, 2018 at 6:41
• could be each letter has a numeric value, but with 6 knowns and about 20 unknowns there may be several solutions, so possibly not. maybe only some letters have value? Commented Mar 2, 2018 at 11:18

Portugal - Uruguay = 11

This seems to be related to:

The distance between the biggest cities of the countries involved. Or, more specifically, the aforementioned distance in miles, divided by 500 and rounded down to the next integer.

Examples:

Germany - Kenya = 7: distance Berlin-Nairobi is about 3950 miles. 3950/500 = 7(.9...)
Mexico - Brazil = 9: distance Mexico City-São Paulo is about 4600 miles. 4600/500 = 9(.2...)
Turkey - Australia = 18: distance Istanbul-Sydney is about 9300 miles. 9300/500 = 18(.6...)
Norway - Ghana = 7: distance Oslo-Accra is about 3800 miles. 3800/500 = 7(.6...)
(South) Korea - Japan = 1: distance Seoul-Tokyo is about 700 miles. 700/500 = 1(.4...)
Ethiopia - Colombia = 15: distance Addis Ababa-Bogota is about 7700 miles. 7700/500 = 15(.4...)

As for the final one:

Portugal - Uruguay = 11: distance Lisbon-Montevideo is about 5900 miles. 5900/500 = 11(.8...)

• This community hosts some geniuses! Thank you. Commented Mar 2, 2018 at 13:39

Alright, here I gave may be some kind of stupid answer... in the way of lateral-thinking I assume.
Since OP didn't mentioned whether this is a mathematical puzzle or not.

Portugal - Uruguay = 22

in 1st and 4th equation, I found that...

[European country] = [African country] + 7

as for 6th equation...

[African country] = [South American country] + 15

from those clues above...

[European country]
= ([South American country] + 15) + 7
= [South American country] + 22
Finally, we prove that "Portugal - Uruguay = 22".

• Answer is 11 but do not know how. Commented Mar 2, 2018 at 13:16