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6th grade

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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 -

    You would do better to call the School Subject MATH.

    Sra

  • 6th grade -

    "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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