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
- Top 10 Tips You MUST Know to Retake the ATI TEAS Math
- Overview of the ASVAB Mathematics Test
- Why Do Most Students Struggle with Math?
- How to Interpret Histogram? (+FREE Worksheet!)
- Full-Length 6th Grade GMAS Math Practice Test
- How to Complete a Table and Graph a Two-Variable Equation?
- Rules of Exponents
- Supermarket Sweep: How to Choose the Better Coupon in Aisle 7!
- How to Study Math Effectively?
- Treasure Hunt in Geometry: How to Navigate Through Polygons’ Scale Drawings
What people say about "Intelligent Math Puzzle – Challenge 86 - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.