Intelligent Math Puzzle – Challenge 86
Intelligent Math Puzzle - Challenge 86 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
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) ?
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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)
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