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Ana's anniversary

Ana's anniversary

Three friends have the following conversation during Ana's birthday:

  • Beatriz: My birthday is in 15 days.
  • Carla: What a coincidence Beatriz, I turn them 15 days after you.
  • Ana: Do you realize that all three birthdays fall on an odd day?

What days are the girls birthday?

Solution

The only date on which it is fulfilled that by adding 15 days to an odd date we have another odd number and that if we add 15 days again we have another odd date is January 31 of a leap year so that the dates of birthdays of the three friends would be:

Ana: January 31
Beatriz: February 15
Carla: March 1