[tex]a+b+c=297 \\
\\ a:b=2~r~25 =>a=2b+25 =>2b=a-25 =>b= \frac{a-25}{2} \\
\\ a:c=11~r~8 =>a=11c+8 =>11c=a-8 =>c= \frac{a-8}{11} \\
\\ a+ \frac{a-25}{2}+ \frac{a-8}{11}=297 \\ \\ \frac{22a}{22}+ \frac{11(a-25)}{22}+ \frac{2(a-8)}{22}= \frac{22*297}{22}|*22 \\
\\ 22a+11a-275+2a-16=6534 \\
\\ 35a-291=6534 \\
\\ 35a=6825 \\
\\ a=195 \\
\\ b= \frac{195-25}{2} \\ \\
b= \frac{170}{2} \\ \\
b=85 \\ \\ c=297-(195+85) \\ \\
c=297-280 \\
\\ c=17[/tex]
