Question 676219: i am a 3 digit number.i am divisible by 3.my hundreds digit is one third my tens digit.if you reverse me,i am divisible by 6.what am i
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
If the hundreds digit is one-third of the tens digit, then the only possibilities are:
13x, 26x, or 39x.
In order to be divisible by 6, a number must be divisible by 2 and 3. If it is divisible by 2, then it must be an even number. Of the possibilities 13x, 26x, and 39x, the only one that is even if it is reversed is 26x.
In order for a number to be divisible by 3, the sum of the digits must be divisible by 3. 2 plus 6 plus 1 is 9, 2 plus 6 plus 4 is 12, and 2 plus 6 plus 7 is 15. So 261, 264, and 267 are all divisible by 3.
But 162, 462, and 762 are also all divisible by 6. So all three answers are correct.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
|
|
|
