All numbers are integers.
♢ = ♠ = ♡ = ♣ 0 ≤ ♣ < ♢ < ♠ < ♡
♣ ( ♢ + ♡ ) = ♣ ( ♠ + ♡ ) ♢ + ♣ = 1 ♢ ( ♡ + ♠ ) = 5
Find ♠ ( ♢ + ♡ ) + ♣
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Nowhere does it say that the symbols represent integers, so the split of 5 into 3 and 2 is not the only way to go.
Also ♢ = ♡ = ♣ = ♠ could mean only that ♢ = ♡ , ♡ = ♣ , ♣ = ♠ This does not guarantee that ♢ = ♠
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From ♣ ( ♢ + ♡ ) = ♣ ( ♠ + ♡ ) you can find out that ♣ = 0 or ♢ = ♠ . And you know that ♢ = ♠ . So ♣ = 0 . Also ♢ + 0 = 1 ⇒ ♢ = 1 . And 1 ( ♡ + ♠ ) = 5 ⇒ ♡ + ♠ = 5 . If you check, the only possible value is ♡ = 3 ♠ = 2 . After if you count all you'll get 8.