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=15-4X

"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=15-4X

see which ones work!

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