MathNet 2024-part-05 — 168 problems (EN–VI) Question 156

Integers $a$, $b$, and $c$ satisfy $ab + c = 100$, $bc + a = 87$, and $ca + b = 60$. What is $ab + bc + ca$?
(A) 212 (B) 247 (C) 258 (D) 276 (E) 284