Praxis Math Core

Question

How do I begin to answer this question? My work is shown below the solution set.

 

Question:

K is a set of 6 consecutive even integers. When the smallest 3 integers of set K are added together, the result is x. When the greatest three integers of set K are added together, the result is y. Which of the following is true?

 

Answer Options:

A. y= x-18

 

B. y= x+18 (correct answer)

 

C. y= 2x

 

D. y= 2x+4 (my answer- random guess)

 

E. y= 2x+6

 

My Work in finding solution:

 

a+b+c = x and d+e+f = y

 

I have no idea what to do next???

 

 

Answer 1

Three smallest:

n, n+2, n+4

Three largest

n+6, n+8, n+10

Sum of smallest, x

3n + 6

Sum of largest, y

3n + 24

 

y (3n+24) = x (3n+6) + 18