Posted by **arochimero** on Tuesday, September 12, 2006 at 8:31pm.

What is my number?

clue 1. my number is a multiple of 2 and 7

clue 2. My number is less than 100 but larger than 50.

clue 3. My number is the product of three primes, which are all different.

Can some one tell me how to work this problem?

Well, let's look at the primes 2,3,5,7

We know form C1 that 2 and 7 are in the number. If we have 2*3*7 we get 42, but C2 tells us our number is greater than 50, so nix this. Now look at 2*5*7=70. Does it satisfy C1, C2 and C3?

Thank you!

- Math -
**Erica**, Wednesday, October 1, 2008 at 5:56pm
the answer is 70 because it is a multiple of both 2 and 7, it is less than 100 but larger then 50, and it is the product of 3 primes 2,5, and 7

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