Geometry Puzzle – Critical Thinking 18

Challenge:

The sum of more than two consecutive integers is 17. What is the least number of the integers?

A- 3

B- 16

C- 17

D- 24

E- 28

The Absolute Best Book to challenge your Smart Student!

The sum of some consecutive integers is 17. Since, 17 is a prime number, then, we cannot find any positive consecutive integers whose sum is 17. Why?
Therefore, we need to consider negative numbers. We know that the sum of two consecutive positive numbers can be 17. Those numbers are 8 and 9.
We are looking for consecutive integers. The sum of negative and positive of a number is zero. For example, the sum of 1 and -1 is 0, or the sum of 2 and -2 is 0.
We found 8 and 9. The other numbers are:
9, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7
The sum of above numbers is 17. Thus, the least number of the integers is 17.

36% OFF

X

How Does It Work?

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

3. Checkout

Complete the quick and easy checkout process.

Save up to 70% compared to print

Help save the environment