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In this puzzle (not based on a real event or real people), which would not be out of place at a Maths Olympiad or a tougher College Entrance Exam, we seem not to have been given anywhere near enough information to solve it - until Diophantine Equations come to the rescue that is. If you are unsure how to solve two variable Diophantine Equations, it would be advisable to watch the video 'Solving Linear Diophantine Equations using Euclid's Algorithm' first • How to Solve Linear Diophantine Equations ... For more videos on Diophantine Equations see our playlist 'Numbers and Number Theory' • Numbers and Number Theory For more videos on Advanced Equation Solving see our playlist 'Advanced Equation Solving' • Advanced Equation Solving For more JEE Aspirant videos see our playlist 'JEE Aspirants' • JEE Aspirant For more videos on College Entrance Exams see our playlist 'UPCAT and Other CETs'' • College Entrance Test Practice For more videos on Maths Olympiads, see our playlist 'Maths Olympiads' • Maths Olympiads