Asked by hi
What is the greatest four-digit integer that meets the following three restrictions ?
All of the digits are different.
The greatest digit is the sum of the other three digits.
The product of the four digits is divisible by 10 and not equal to zero.
All of the digits are different.
The greatest digit is the sum of the other three digits.
The product of the four digits is divisible by 10 and not equal to zero.
Answers
Answered by
Reiny
the lead digit should be 9
to be divisible by 10 , two of the digits must be 5 and 2 , or 5 and 4
We can rule out 5 and 6, and 5 and 8, since the sum would be greater than 9
let's try 952X, X must be 2, but all digits must be different
let's try 9540, no good, since we can't have a product of all the digits being zero
ok, how about the lead digit being 8
then we need 8521, yup, that's the one
to be divisible by 10 , two of the digits must be 5 and 2 , or 5 and 4
We can rule out 5 and 6, and 5 and 8, since the sum would be greater than 9
let's try 952X, X must be 2, but all digits must be different
let's try 9540, no good, since we can't have a product of all the digits being zero
ok, how about the lead digit being 8
then we need 8521, yup, that's the one
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.