Posted by **tyler** on Tuesday, November 8, 2011 at 7:51pm.

Find the mystery number

im a number between 300 and 400

im divisible by 3 and 4 . but not 9

my tens digit is a square number

the sum of the hundreds digit and the tens digit is a prime number.

find the mystery number

- math -
**Steve**, Wednesday, November 9, 2011 at 4:46am
we know that the number is 3xx

the tens digit is either 1,4, or 9

4+3 =7 is a prime, so the number is 34x

x cannot be 2 or 5, because 342 and 345 are divisible by 9 (cast out nines)

The number must be even, because it is divisible by 4. So, it is either

340 344 346 348 (but 4 does not divide 346)

Only 348 is divisible by 3 (cast out threes)

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