For Part 1 the answers are actually 12 and 60.

Thanks

Arthur D.

tutor

Just to add something interesting to part 2...

If you have three consecutive integers, three consecutive odd integers, or three consecutive even integers,

the mean or average is the middle number. The sum of three consecutive odd integers is the same as the middle one multiplied by 3. For example, the sum of 5,7, and 9 is 21, which is the same as 3*7=21.

The reasoning is that 9 is 2 more than 7 while 5 is 2 less than 7. The point I'm trying to make is that a simple solution to part 2 is 597/3=199 which is the middle number. Therefore, the other two numbers are

199+2=201 and 199-2=197. Michael O.'s solution is perfect and that is how to mathematically solve a problem like this. Mathematics is full of patterns and it's fun and interesting to see these patterns and simple solutions. There may be a time when the use of these patterns becomes a useful tool and you are also adding to your repertoire of problem-solving skills.

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07/28/14

Michael O.

07/28/14