Question

A+b=343 b+c=297 a+c=360 aflati a=? B=? C=?

Answer 1

$\displaystyle a+b=343\Rightarrow a=343-b \\ b+c=297 \Rightarrow c=297-b \\ a+c=360 \Rightarrow 343-b+297-b=360 \Rightarrow \\ ~~~~~~~~~~~~~~~~~~~~-b-b=360-343-297 \\~~~~~~~~~~~~~~~~~~~~-2b=-280 \\ ~~~~~~~~~~~~~~~~~~~~b= \frac{-280}{-2} \\ ~~~~~~~~~~~~~~~~~~~~\boxed{b=140} \\ c=297-b \Rightarrow c=297-140 \Rightarrow \boxed{c=157} \\ a=343-b \Rightarrow a=343-140 \Rightarrow \boxed{a=203}$

Answer 2

$a+b=343 \\ b+c=297 \\ a+c=360 \\ a+b+b+c+a+c=343+297+360 \\ 2a+2b+2c=1000 \\ 2*(a+b+c)=1000 \\ a+b+c=\frac{1000}{2} \\ a+b+c=500 \\ a=(a+b+c)-(b+c)=500-297=203 \\ b=(a+b+c)-(a+c)=500-360=140 \\ c=(a+b+c)-(a+b)=500-343=157$