ab=10,bc=20,ca=30(a+b+c=?Japanese Olympiad Math|A Nice Exponential Question Algebra Solution|

ab=10,bc=20,ca=30(a+b+c=?Japanese Olympiad Math|A Nice Exponential Question Algebra Solution|



This Olympiad-style algebra puzzle looks simple at first: you’re given only two equations, and . The challenge lies in interpreting what “ab” and “bc” really mean — are they products, or two-digit numbers with digits ? If they are products, the solution comes quickly with ratios; if they are digits, it leads to contradiction. The trick is recognizing the ambiguity and solving accordingly. This type of problem is typical in math olympiads, brain teasers, and competitive exams, where notation hides deeper structure.


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