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, as well as by 3.
What number am I?
Thank you for your help.
Math - PsyDAG, Saturday, December 12, 2009 at 11:23am
If the hundreds digit is is 1, the tens must be 3, likewise 2 and 6, 3 and 9.
To get 15, the possibilities exclude 1 and 3, because the ones digit cannot be a single digit.
The remaining possibilities are 267 and 393.
Which one fits all the requirements?
I hope this helps.