Guess me : A safe of a treasure chest can be unlocked with a 5 digit key. The following is known about it............... A safe of a treasure chest can be unlocked with a 5 digit key. The following is known about it. The 4th digit is 4 greater than the second digit, while the 3rd digit is 3 less than the 2nd digit. The 1st digit is thrice the last digit. There are 3 pairs whose sum is 11. Find the number.

1

Answers

  • Brainly User
2015-11-21T18:20:12+05:30
As per given conditions, there are three possible combinations for 2nd, 3rd and 4th digits. They are:
3, 0, 7 or 
4, 1, 8 or 
5, 2, 9
It is given that there are 3 pairs whose sum is 11. All possible pairs are
2, 9 
3, 8 
4, 7 
5, 6 
Now required number is 5 digit number and it contains 3 pairs of 11. So it must not be having 0 and 1 in it.
Hence, the only possible combination for 2nd, 3rd and 4th digits is 
5, 2, 9
Also, the 1st digit is thrice the last digit. The possible combinations are 
3, 1
6, 2 
9, 3
Out of these only (6, 2) with (5, 2, 9) gives 3 pairs of 11. Hence, the answer is 65292.
1 5 1