The letters #R, M, O# represent whole numbers. If #RxxMxxO=240, RxxO+M=46, R+MxxO=64#, then what is the value of #R+M+O#?

1 Answer
Nov 27, 2016

#20#

Explanation:

Multiplying #R xx O + M = 46# term to term by #M# we have

#M xx R xx O + M^2= 46 M# but #M xx R xx O = 240# so

#M^2-46M^2+240=0# will give us #M=6# and #M = 40# as a whole numbers

In the same way

#R^2+R xx M xx O=64 R# so

#R^2-64R+240=0# will give us #R=4# and #R=60#

To obtain the #O# values, substituting into #M xx R xx O = 240# we obtain

#((M,R,O),(6,4,10),(6,60,-),(40,4,-),(40,60,-))#

so the solution is

#M+R+O=6+4+10=20#