# SAT Math - Question of the day - 15th Nov 2016 The sum of n consecutive integers is 45. Which of the following cannot be n?

Option:

a.   2

b.   3

c.   4

d.   5

Solution:

This problem can be solved by eliminating options.

Let's take option A. So, n = 2

x + x + 1 = 45

2x = 44

x = 22

Option A is eliminated.

Let's take option B. So, n = 3

x + x + 1 + x + 2 = 45

3x + 3 = 45

3x = 45

x = 15

Option B is eliminated.

Let's take option C. So, n = 4

x + x + 1 + x + 2 + x +3 = 45

4x + 6 =45

4x = 39

x =39 / 4

As x has to be an integer, n = 4 is not possible.

Hence, Option C is correct.

Try to solve this question on your own! Do post your comments and solutions in the comment section below.

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