Posted by brandon on Tuesday, September 14, 2010 at 7:43pm.
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 3. what number am i?

MATH needs help, grade 6  SraJMcGin, Tuesday, September 14, 2010 at 8:07pm
You would do better to call the School Subject MATH.
Sra

6th grade  TutorCat, Tuesday, September 14, 2010 at 9:58pm
"i am a 3 digit number"
3 digit number = XYZ
x=hundreds
Y=tens
Z=ones
"divisible by 3"
(X+Y+Z)/3 = whole number
"my tens digit is 3 times as great as my hundreds digit"
Y=3X
therefore,(X+3X+Z)/3 = whole number
"the sum of my digits is 15"
X+Y+Z=15 or X+3X+Z=15 (from substitution of Y=3X) or Z=154X
"if you reverse my digits i am divisible by 6"
ZYX
which means it's divisible by 2!
X = 0, 2, 4, 6, or 8
plug X into here:
(X+3X+Z)/3 = whole number
Z=154X
see which ones work!
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