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IMC 2006 — Keystage 3 (IWYMIC) — individual Question 1

xIMC · IMC 2006 — Keystage 3 (IWYMIC) — individual

Question 1

Colleen wants $(a+b)/c$, for positive integers $a,b,c$. Pressing $a,+,b,/,c,=$ yields eleven, whereas $b,+,a,/,c,=$ yields fourteen. She realizes division is performed before addition. Entering parentheses correctly gives the desired result. What is it?