### Brain Teasers

# Calendar Fun

Jason said: "Pick any three dates that are next to each other in a week on the calendar. Give me only the sum and I'll tell you your dates."

Noriko secretly chose 14, 15, and 16, and gave the sum 45 to Jason. In a couple of seconds Jason said, "The dates are 14, 15, and 16."

David secretly chose 22, 23, and 24, and gave the sum 69. Again, in a couple of seconds, Jason said, "The dates are 22, 23, and 24."

Can you figure out Jason's trick?

Noriko secretly chose 14, 15, and 16, and gave the sum 45 to Jason. In a couple of seconds Jason said, "The dates are 14, 15, and 16."

David secretly chose 22, 23, and 24, and gave the sum 69. Again, in a couple of seconds, Jason said, "The dates are 22, 23, and 24."

Can you figure out Jason's trick?

### Hint

Try some easier numbers, such as 1, 2, and 3 or 3, 4, and 5, to see if you can find a pattern. How is the sum related to the dates?### Answer

Jason's trick is to divide the sum by 3, in order to find the middle number of the three dates.If you have a sum of 6, the middle date is 6/3, or 2, and the dates are 1, 2, and 3. If you have a sum of 45, the middle date is 45/3, or 15, and the dates are 14, 15, and 16. If you have a sum of 69, the middle date is 69/3, or 23, and the dates are 22, 23, and 24.

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