posted by kich on .
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?
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:
Sum of digits must be divisible by 4, so that leaves us with
2433 or 3922
Both of them satisfy the conditions.