Deeper still, the path opens into a hall of three colossal crystal spires. They sing in pure tones, their harmonies weaving into a single chord. Yet one voice rises highest above the rest — if you can name it, the caverns will let you pass.
Question:
Three crystals vibrate at frequencies in the ratio 2:3:5. If their combined frequency is 300 Hz, what is the frequency of the highest-pitched crystal?
Hint: “In the choir of crystals, one sings highest, one hums lowest, and one just keeps the peace — yet together they make the perfect shimmering chord.”