1. "I have as many brothers as sisters, but my brothers have twice the number of sisters as brothers. How many of us are there?"

2. Richard is 33 years old today. This is three times as old as his brother Philip was when Richard was the age that Philip is today. How old is Philip?

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THE SOLUTION

1. Seven. The only possible solution is that the person talking is a woman and there are four woman and three men.

2. If Richard today is 33 years old, and that is three times as old as Philip was, Philip must have been 11 years old. So, when Philip was 11, Richard was as old as Philip is today. Therefore, the years that passed from the time Philip was 11 to today must be equal to the time that passed between Richards age then and now. We need to find a midpoint between the two ages--33 and 11. That will give us Philips age today--22 years old.