Ratio, Proportion and Percentages Puzzle – Challenge 30
This is a perfect math puzzle for those who love challenging their brain. The solution is also provided.

Challenge:
The product of two numbers is 216 and their sum is 35. What is their difference?
The Absolute Best Book to challenge your Smart Student!

The correct answer is 19.
Let x be the first number and y the next number. Therefore:
\(xy = 216\) and \(x + y = 35\). Solve the second equation for x:
\(x + y = 35 → x = 35 – y\)
Replace the value of x in the second equation with x in the first equation.
\(xy = 216 → (35 – y) y = 216 →35y – y^2 = 216 →\)
\(y^2 – 35y + 216 = 0\)
Factorize the polynomial: \((y – 8) (y – 27) = 0\)
\(y = 8\) or \(y = 27\)
The difference is 19.
The Absolute Best Books to Ace Algebra
Related to This Article
More math articles
- Journey on the Number Line: How to Multiply Unit Fractions with Whole Numbers
- A Comprehensive Collection of Free TASC Math Practice Tests
- How to Solve Angle Measurements Word Problems
- The Fundamental Theorem of Algebra
- SAT And ACT Tests Hacks and Tips
- How to ACE the SAT Math?
- What Are the Applications of Inverse Trigonometric Functions?
- How to Match Word Problems with the One-Step Equations?
- 10 Most Common 8th Grade NYSE Math Questions
- 8th Grade Common Core Math Practice Test Questions
What people say about "Ratio, Proportion and Percentages Puzzle – Challenge 30 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.