A number of two digits is less than 8 times the product of its digits. If the number of digits is greater than the number of the unit, then what are those numbers.
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Well, for two digits with their product to be 8, there is only two possibilities : {1,8} and {2,4}. If we look at the differences of the 2-digit numbers formed by these two sets, we find 81−18=63 and 42−24=18. Therefore, this number is 24, as can be verified by 2×4=8 and 24+18=42 (digits are reversed).
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