If m,s,and t are positive real numbers such that m(s+t) = 152, s(t+m) =162 , and t(m+s) = 170, then mst is Choose the correct choice from the following answers:
A) a) 672 B) b) 688 C) c) 704 D) d) 720 E) e) 750
ms+mt = 152 --------------------------------------1)   st+sm = 162---------------------------------------2)   mt+ts = 170---------------------------------------3)   Re-writing equation 3 as follows:   mt+ts = 162 + 8   mt+ts = st+sm + 8   mt = sm + 8 ............... (4)   Adding (1)(4)   2mt = 160   mt = 80   mst has to be multiple of 80, only 720 fits in   Answer = d) 720
<result>D</result>
If m,s,and t are positive real numbers such that m(s+t) = 152, s(t+m) =162 , and t(m+s) = 170, then mst is