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Given two hourglasses of 4 minutes and 7 minutes, the task is to measure 9 minutes.
Solution:
1. At 0 minutes: Start both hourglasses at the same time.
2. At 4 minutes: 4 minutes hourglass runs out and flip it. 7 minutes hourglass is left with 3 minutes.
3. At 7 minutes: 4 minutes hourglass is left with 1 minute. 7 minutes hourglass runs out and flip it.
4. At 8 minutes: 4 minutes hourglass runs out and 7 is filled with 6 minutes and 1 minute on the other side. Flip it as the sand is left with 1 minute.
5. At 9 minutes: 7 minutes hourglass becomes empty from above side.
Hence we measured 9 minutes.