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attashe74 [19]
3 years ago
5

Help me plzzzzz!!!!!!!

Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Lock key is 042

Step-by-step explanation:

  • Step 1: Through each clue, eliminate numbers to find the lock.

738 - all digits are wrong

⇒ the numbers are not 7, 3 or 8

380 - one digit is right but in the wrong place

⇒ since 3 and 8 are wrong digits, 0 is the right digit but place is wrong

682 - one digit is right and in its place

⇒ since 8 is a wrong number, the right digit could be 6 or 2

614 - one digit is right but in the wrong place

⇒ since 6 was in the same position in the previous clue, it can be concluded that 6 is also wrong.

206 - two digits are right but are in the wrong place

⇒ from the above clues 0 and 2 are the right digits.

∴ 0, 2 and 4 are the right digits.

  • Step 2: Find the positions of the digits.

0 can't be in 2nd or 3rd position based on the clues.

2 should be in the 3rd position.

⇒ Order is 042

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2) Consider:

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3=x+1\\3-1=x+1-1\\2=x \Rightarrow x=2

3) Testing it

5x=y+7\\\\5(2)=(3)+7\\\\10=10\:True

xy=6\\2*3=6\\6=6

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