The sum of three numbers is 16. The largest number is equal to the sum of the other two, and 3 times the smallest number is 1 more than the largest.

Question

I would just like the three different equations so i can create the matrices and solve from there. 

Answer 1

sum of three numbers is 16:

x+y+z=16

 

The largest number is equal to the sum of the other two

x=y+z

 

3 times the smallest number is 1 more than the largest

3z=x+1

 

x=largest.  z=smallest