900, 810, 801, 720, 711, 702, 630, 621, 612, 603, 540, 531, 522, 513, 504, 450, 441, 432, 423, 414, 405, 360, 351, 342, 333, 324, 315, 306, 270, 261, 252, 243, 234, 225, 216, 207, 180, 171, 162, 153, 144, 135, 126, 117 and 108.
NOTE : These numbers have digits whose sum is 9. An interesting mathematical fact is that they are also all divisible by 9.
This applies to any number. If the sum of the digits = 9 or a multiple of 9 then the number is divisible by 9.
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.
Three digits can't possibly add up to 900. The largest possible sum of 3 digits is (9 + 9 + 9) = 27.
22
What is the units digit of the least whole number greater than 1000 whose digits are all different?
The largest three digit prime number whose digits are all primes is 773.
137?
992
940
How about: 773
The largest 3 digit number whose digits are all primes is 777. The largest 3 digit number with different prime digits is 753.
1348.
450 or 900
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.
1
Three digits can't possibly add up to 900. The largest possible sum of 3 digits is (9 + 9 + 9) = 27.