general Maths Puzzle

There is a ten-digit mystery number (no leading 0), represented by ABCDEFGHIJ, where each numeral, 0 through 9, is used exactly once. Given the following clues, what is the number?

1) B+C+F+J=E+G+H+I=AD,

2) B-H=J-G=3,

3) C-F=E-I=5,

4) B*I=AJ

Read Solution (Total 3)

Please not that the third clue should have been C-F=E-I=5 and not C-F=E=I=5.
15 years agoHelpfull: Yes(2) No(1)

given that
where each numeral, 0 through 9, is used exactly once.
and one clue is 3) C-F=E=I=5 ;that is E=I
which are contradiction
15 years agoHelpfull: Yes(1) No(2)
ABCDEFGHIJ=2951804637
15 years agoHelpfull: Yes(0) No(0)

general Other Question

There are five doors, one leads to the exit, the others lead to traps. They are in a line. The clues tell you which position the doors are in the line and where the door to freedom is. All the clues are true. Each door has a clue written on it. The clues read:
1. On the blue door: This door is two spots away from the door to freedom.
2. On the red door: This door is at the far right, and is two spots away from the blue door.
3. On the purple door: This door is not next to the door of freedom.
4. On the green door: This door is left of the blue door.
5. On the orange door: This door is not next to the red or blue doors.

Question 1) Which door leads to freedom?
Question 2) Find the order in which all doors are arranged A man has two bankcards, each with a 4 digit number. The first number is 4 times the second. The first number is the reverse of the second. Find the numbers.