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if O + M + Q + M = 37 AND O + Q + Q + M = 41 AND M + O + Q + O = 46 WHAT IS Q + O +M + Q =

 Oct 10, 2015
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O + M + Q + M = 37 AND O + Q + Q + M = 41 AND M + O + Q + O = 46 WHAT IS Q + O +M + Q

 

We have the following system :

 

2M + Q + O   = 37

M  + 2Q + O =   41

M + Q   + 2O  = 46

 

Subtracting the second equation form the first, we have

 

M - Q   =  -4    →   Q = M + 4  

 

Subtracting the third equation from the first, we have

 

M - O  = - 9  → O  = M + 9   

 

Substituting into the first equation, we have

 

2M + [ M + 4] + [ M + 9 ]  = 37   simplify

 

4M = 24   →    M = 6

 

And Q = 6 + 4 = 10

 

And O = 6 + 9   = 15  

 

 

cool cool cool

 Oct 10, 2015

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