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5 digit key. the 4 digit s 4 more than 3 rd digit. 2nd digit
is 3 less than 3 rd digit. 1st digit is twice the last digit.
the sum of 3 pairs of digit is 11. find the no.

Question Posted / guest


5 digit key. the 4 digit s 4 more than 3 rd digit. 2nd digit is 3 less than 3 rd digit. 1st digit ..

Answer / russell

65292

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, 1st digit is thrice the last digit. The possible
combinations are (3, 1), (6, 2) and (9, 3), out of which
only (6, 2) with (5, 2, 9) gives 3 pairs of 11. Hence, the
answer is 65292.

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