1/x+1/y=1/21(x+y)=?Japanese | A nice Olympiad math problem. How to solve this problem?

Japanese | A Nice Olympiad math problem. How to solve this problem? #maths #basicproblems




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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