what is the largest integer?

Question

three times the middle of three consecutive integers equals four less than twice the sum of the smallest and largest integers. 

Answer 1

Call these integers x, y, and z.  

 

y = x + 1 

z = x +2 

 

3 * y = 2 * (x + z ) - 4   

 

substitute in for y and z   

 

3 * (x+ 1)  = 2 * (x + (x+2)) = 4   

 

3x +3  =2x + 2x + 4 -4  

 

reduce 

 

3 = x  

 

y =4 ,  z =5  

 

3 * 4 = 12   =   2*(3+5) -4  =12