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math

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i am a 4 digit decimal. the sum of my digits is divisible by 4. the square of my tenths equals my hundredths place. my thousandths is one less than my hundredths and equals to my ten thousandths. who am i?

  • math -

    the square of my tenths equals my hundredths place

    so, tenths must be 0,1,2,3
    hundredths must then be 0,1,4,9

    thousandths & 10 thousandths must then be -1 (nope),0,3,8

    So, we have possibilities:

    1100
    2433
    3922

    Sum of digits must be divisible by 4, so that leaves us with

    2433 or 3922

    Both of them satisfy the conditions.

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