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Coffee Time Challenge

A short little puzzle to solve over your next morning coffee:
  • 1, x, y   are three numbers in geometric progression.
  • x, 6, y   are in arithmetic progression.
What are the values of x, y ?

Easy Solution

Without even breaking out math, you probably got the solution x = 3, y = 9
This gives the geometric progression of: 1, 3, 9 and the arithmetic progression as: 3, 6, 9.
There is, however, another solution. Can you find it?

Solution