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!
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 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
- Picture Perfect Inequalities: How to Graph Solutions of Two-Step Inequalities
- Top 10 Tips You MUST Know to Retake the ATI TEAS Math
- Derivatives Demystified: Everything You Need to Know
- Full-Length GRE Math Practice Test
- How to Divide Exponents? (+FREE Worksheet!)
- 4th Grade MAP Math Worksheets: FREE & Printable
- How to Graph Inverse Functions
- How to Find Domain and Range of a Function?
- How to Understand the Real Number Line
- Top 10 Free Websites for ACCUPLACER Math Preparation
What people say about "Geometry Puzzle – Critical Thinking 18 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.