Consider the 10-digit integer
N=ABCDEFGHIJ
(where A,B,C,D..J are the digits of N). Each digit of N is a number between 0 and 9 inclusive and all digits of N are different from each other.
What must be the value of N so that the three vertical and three horizontal operations in the table below are correct?
EDJH−EDB=EEID÷×−JF+I=DJ===AA+EHCG=EEAE
Details and assumptions
You may assue that only one value of N satisfies the constraints above.