Geometry Puzzle – Critical Thinking 18
This is another great Critical Thinking Puzzle and challenge to tease your brain and help you develop your creative thinking!
![Geometry Puzzle – Critical Thinking 18](https://www.effortlessmath.com/wp-content/uploads/2020/04/Critical-Thinking-18-512x240.jpg)
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!
![](https://www.effortlessmath.com/wp-content/uploads/2020/04/answer.png)
The correct answer is C.
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.
The Absolute Best Books to Ace Algebra
Related to This Article
More math articles
- Exponential and logarithmic integrals Simplified
- Top 10 Tips You MUST Know to Retake the CBEST Math
- A Deep Dive Into The World Of Limits: Limit Laws
- 4th Grade SC Ready Math Worksheets: FREE & Printable
- 10 Most Common 8th Grade MEAP Math Questions
- Triangle Inequality
- Double the Steps, Double the Fun: How to Solve Two-Step Inequalities
- Bridging the Gap: From Basic Math to Algebra with “Pre-Algebra for Beginners”
- 6th Grade WY-TOPP Math Worksheets: FREE & Printable
- Top 10 Tips You MUST Know to Retake the TExES Math Test
What people say about "Geometry Puzzle – Critical Thinking 18 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.