Let the digits of the 3 digit number be [tex] x-2,x,x+2 [/tex]. where [tex] x [/tex] is an integer greater than 1. It is given that the sum of the 3 digits is 15. Hence,
[tex] x-2+x+x+2=15\\
3x=15\\
x=5 [/tex]
Thus the digits are [tex] 3,5,7 [/tex].
Therefore, the number is [tex] 357 [/tex].
We assume that the digits of the number is increasing from the 100th place.
