CAT 2023 Slot 3 QA · Question 12

There are three persons $\mathrm{A},\mathrm{B}$ and $\mathrm{C}$ in a room. If a person $\mathrm{D}$ joins the room, the average weight of the persons in the room reduces by $x\mathrm{kg}$. Instead of $\mathrm{D}$, if person $\mathrm{E}$ joins the room, the average weight of the persons in the room increases by $2x\mathrm{kg}$. If the weight of $\mathrm{E}$ is $12\mathrm{kg}$ more than that of $\mathrm{D}$, then the value of $x$ is