A two digit number is 2 less than 8 times the sum of its digits. If 36 is subtracted from the number, the digits are reserved. Find the number.
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Step-by-step explanation:
You need to be able to delete 36 from the number, so since your two digits add up to eight, and since negative numbers do not give you a reversible two digit number, this leaves you the following logical possibilities:
80 - 36 = 44 -> 44
71 - 36 = 35 -> 53
62 - 36 = 26 -> 62
53 - 36 = 17 -> 71
44 - 36 = 08 -> 80
Thus your two digit number can be any number of the set [44,53,62,71,80]
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