JBMO 2017 Problem 1
- Paper
- Answer
Determine all the sets of six consecutive positive integers such that the product of some two of them, added to the product of some other two of them is equal to the product of the remaining two numbers.
Dataset text NuminaMath olympiads. Quoted with source.
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1 \cdot 2+3 \cdot 6=4 \cdot 5, \quad 2 \cdot 5+3 \cdot 6=4 \cdot 7, \quad 7 \cdot 8+6 \cdot 9=10 \cdot 11
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