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Card distribution logic puzzle — equations from statements: Find the number of cards with player B. Players A, B, C, D, E are playing cards; total cards = 133. A to B: “If you give me 3 cards, you will have as many as E has; if I give you 3, you will have as many as D has.” Also: A + B together have 10 more than D + E together; B has 2 more than C. Compute B's number of cards and choose the correct option.

Difficulty: Medium

Correct Answer: 25

Explanation:

Given data (translate to equations)

B − 3 = E ⇒ b = e + 3
B + 3 = D ⇒ d = b + 3
A + B = D + E + 10 ⇒ a + b = d + e + 10
B = C + 2 ⇒ b = c + 2
Total: a + b + c + d + e = 133

Step-by-step calculation
From b = e + 3 ⇒ e = b − 3.From d = b + 3.a + b = (b + 3) + (b − 3) + 10 = 2b + 10 ⇒ a = b + 10.c = b − 2.Sum: a + b + c + d + e = (b + 10) + b + (b − 2) + (b + 3) + (b − 3) = 5b + 8.5b + 8 = 133 ⇒ 5b = 125 ⇒ b = 25.

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