Three digits can't possibly add up to 900.
The largest possible sum of 3 digits is (9 + 9 + 9) = 27.
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Find a four digit number whose digits will be reversed when multiplied by nine?
Nine hundred thirty (930) is the highest three digit number whose digits have a sum of 12. 9+3+0=12. Any numbers higher than that will give you an sum greater than 12.
22
What is the units digit of the least whole number greater than 1000 whose digits are all different?
To find the number of three-digit positive integers with digits whose product is 24, we can break down 24 into its prime factors: 2 x 2 x 2 x 3. The possible combinations for the three digits are (2, 2, 6), (2, 3, 4), and (2, 4, 3). These can be arranged in 3! ways each, giving a total of 3 x 3! = 18 three-digit positive integers.