math
posted by tori on .
i am a 3 digit number divisible by 3.my tens digit is 3 times as great as my hundreds digit and the sum of my digits is 15. if you reverse my digits i am divisible by 6 and 3...... what number am i?

We know that the number is divisible by three if the sum of its digits is 15!
It's got 3 digits. When reversed, it is divisible by 6, which means that the reversed number is divisible by 2. This translates to
"the hundred's digit is even".
From
"my tens digit is 3 times as great as my hundreds digit"
we deduce that the number must be one of the three possibilities:
A. 13X
B. 26X
C. 39X
Where X can be found from the fact that the digits add up to 15.
Both A and C will not work because the hundreds digit is not even.
So can you find the number now?