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How Many Miles to Go?

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

After one mile the milometer will read $4632$ and the trip meter will read $174.3$.

What happens when you add $10$ miles ... $100$ miles ... to each of the two measurements?

What are the two readings that match? Is it significant that one number is a multiple of the other?