SEAMO X 2020 — Paper E — Grade 9–10 Question 11

Positive real numbers satisfy $a+\lfloor b\rfloor+\{c\}=11.1$, $\lfloor a\rfloor+\{b\}+c=12.2$, and $\{a\}+b+\lfloor c\rfloor=13.3$, where $\{x\}=x-\lfloor x\rfloor$. Find $\lfloor a\rfloor+\lfloor b\rfloor+\lfloor c\rfloor$.