Reasoning
We can work this out with a little algebra. I have A apples and you have B apples, then
[1] 5 x (A − 7) = B + 7
[2] A + 7 = B − 7
From [1] we have:
5A − 35 = B + 7
[3] 5A = B + 42
From [2] we have:
[4] A + 14 = B
We can then use [4] in [3] to give:
5A = (A + 14) + 42
5A = A + 56
4A = 56
A = 14
Which gives B = 28 (by [4]).
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Puzzle 3
Without using any reference material can you find the hidden countries? In each case, the letter indicates the first letter of the country in question, the number represents the number of letters in the country. For example, E7 would be England.
Z6, L10, I9, E7, B6, J7, P8, M10, P4, F4