2013 AMC 12A Problems/Problem 5

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Add up the amounts that Tom, Dorothy, and Sammy paid to get $$405$, and divide by 3 to get $$135$, the amount that each should have paid.

Tom, having paid $$105$, owes Sammy $$30$, and Dorothy, having paid $$125$, owes Sammy $$10$.

Thus, $t - d = 30 - 10 = 20$.