2025 AMC 8 Problems/Problem 16

Five distinct integers from $1$ to $10$ are chosen, and five distinct integers from $11$ to $20$ are chosen. No two numbers differ by exactly $10$ . What is the sum of the ten chosen numbers?

$\hspace*{5mm}\text{(A) } 95 \quad \text{(B) } 100 \quad \text{(C) } 105 \quad \text{(D) } 110 \quad \text{(E) } 115$

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2025 AMC 8 Problems/Problem 16