Numbers


Dec. 24, 2023

Same Difference?

A friend asked me, are there any number pairs which share the same percentage difference in increasing to, and decreasing back to each other? eg. 100 to 150 is a 50% increase, but 150 to 100 is a 33.33% decrease (one third). Are there any which are equal in increasing and decreasing change, so X to Y is an A% increase and Y to X is a B% decrease, where A=B?

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