Intelligent Math Puzzle – Challenge 86
This math puzzle does not require any special mathematical knowledge, just logical reasoning, and creative thinking.

Challenge:
If \(\frac{1}{3} = \frac{1}{\triangle} + \frac{1}{\triangledown}\) what is the value of \(\triangledown × \triangle\) ?
The Absolute Best Book to Challenge Your Smart Student!

The correct answer is 48.
\(\triangledown\) and \(\triangle\) are two digits. The sum of two fractions \(\frac{1}{\triangle} \) and \(\frac{1}{\triangle}\) equals to \(\frac{1}{3}\). Obviously, there are many values for \(\triangledown\) and \(\triangle\) that can be used in the equation.
Choose a value for \(\triangledown\). Let’s put 4 for \(\triangledown\). Then:
\(\frac{1}{3} = \frac{1}{\triangle} + \frac{1}{4} →\frac{1}{3} – \frac{1}{4} = \frac{1}{\triangle} → \frac{4}{12} – \frac{3}{2} = \frac{1}{\triangle} → \frac{1}{12} = \frac{1}{\triangle} →\triangle = 12\)
Therefore: \(\triangledown × \triangle = 4 × 12 = 48\)
The Best Books to Ace Algebra
Related to This Article
More math articles
- 6th Grade FSA Math Worksheets: FREE & Printable
- The Ultimate 6th Grade PARCC Math Course (+FREE Worksheets)
- 7th Grade MAP Math FREE Sample Practice Questions
- Ratio, Proportion and Percentages Puzzle – Challenge 24
- 6th Grade ILEARN Math Worksheets: FREE & Printable
- The 8 Best Webcams for Online Teachers
- PSAT 8/9, PSAT 10, and PSAT/NMSQT Preview
- The Best HiSET Math Worksheets: FREE & Printable
- 4th Grade RISE Math Worksheets: FREE & Printable
- 5 Best Praxis Core Math Study Guides
What people say about "Intelligent Math Puzzle – Challenge 86 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.