Question

In the adjacent diagram, if $n\left(U\right)-125,y$ is two times of $x$ and $z$ is $10$ more than $x$. then find the value of $x,y$ and $z$

Answer 1

$\begin{array}{c}\Rightarrow n\left(0\right)=125\\ \Rightarrow y=2x\left(given\right)\to \left(i\right)\\ \Rightarrow z=x+10\left(given\right)\to \left(ii\right)\\ Then,A/qtodiagram\\ \Rightarrow x+4+3+6+y+3+4+17+6+3+17+z=125\\ fromequation\left(i\right),\left(ii\right)and\left(iii\right)\\ \Rightarrow x+y+z=125-63\\ \Rightarrow x+2x+x+10=62\\ \Rightarrow 4x=52\\ \left\{\begin{array}{c}x=13\\ \therefore y=2x=2\times 13=26\\ \therefore z=x+10=23\end{array}\right\}Ans.\end{array}$