In an increasing sequence of 6 consecutive integers, the sum of the first 4 integers is 570. What is the sum of the last 2 integers in the sequence?
Choose the correct choice from the following options.
A) 291
B) 290
C) 274
D) 270
E) 265
Solution:   In solving this problem we must first remember that when we have 6 consecutive integers we can display them in terms of just 1 variable. Thus, we have the following:   Integer 1: x   Integer 2: x + 1   Integer 3: x + 2   Integer 4: x + 3   Integer 5: x + 4   Integer 6: x + 5   We are given that the sum of the first 4 integers is 570. This means that:   x + x+1 + x+2 + x+3 = 570   4x + 6 = 570   4x = 564   x = 141   The sum of the last 2 integers can be expressed and simplified as:   x+4 + x+5 = 2x + 9   Substituting 141 for x yields:   (2)(141) + 9 = 291   291nswer: 291
<result>A</result>
In an increasing sequence of 6 consecutive integers, the sum of the first 4 integers is 570. What is the sum of the last 2 integers in the sequence?