Posted by john on Sunday, September 21, 2008 at 12:14pm.
Here's the brute-force solution, which was produced using MS Excel in about half an hour - so probably not much use if you have show your working and use the clues to get to the answer. There are five solutions that use the digits 0-9 exactly once:
5694 x 3 = 17082
6189 x 3 = 20457
6918 x 3 = 20754
8169 x 3 = 24507
9168 x 3 = 27504
Of these, only the first has three consecutive digits in the four-digit number (4, 5 and 6), and the third digit (9) is the sum of the first two of these. The other conditions fit also. You don't need to look at any four-digit number less than 3333, since the product with 3 doesn't have five digits, so you've got 6666 numbers to check. Interesting that the other four solutions all have the same digits in various permutations.
Related Questions
maths - can you replace the stars with figures **** x 3
Math - What is the greatest odd number that uses digits 3, 4, 5 once each?
math - using digits 1-9 only once, multiply a 3 digit by a 2 digit number and ...
maths - use the digits 8,6,1 &4 once each.Arrange the digits to make a 4- ...
maths - using the digits 1,3 and 5 only once write the greatest and least three-...
math - using 3,4,5,6, =28 you have to use each number once Using addition once, ...
Maths - Using each of the 10 digits 0 to 9 just once, is it possible to form ...
science - What type of object will teh Sun leave behind once it finished dying? ...
science - What type of object will teh Sun leave behind once it finished dying? ...
astronomy - What type of object will teh Sun leave behind once it finished dying...
For Further Reading
