Number is 5 less than 9 times the sum of the digits. How do you find the number?
1 Answer
Explanation:
Suppose that the number is
The sum of its digits is
Then, according to the problem statement,
Simplify to get
Recall that all variables are integers between
This is because the maximum value
#8a# can be is#8*9=72# , while the minimum value of#91c,991d,9991e,ldots# where#c,d,e,ldots≠0# is#91,991,9991,ldots#
As most of the terms evaluate to zero, we have
Since the maximum possible value for
So only