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
- CLEP College Algebra Worksheets: FREE & Printable
- Using Decimals and Fractions to Solve One-Step Equations
- How to Prepare for FTCE General Knowledge Math Test?
- Top 10 Tips to Create a HiSET Math Study Plan
- 6th Grade MAP Math FREE Sample Practice Questions
- How to Factor by GCF?
- FREE 3rd Grade MAP Math Practice Test
- What Kind of Math Is on the CHSPE Test?
- 8th Grade ACT Aspire Math FREE Sample Practice Questions
- PSAT 8/9 Math Worksheets: FREE & Printable
What people say about "Ratio, Proportion and Percentages Puzzle – Challenge 30 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.