Find the number of N,where N is a 4-digit number

[Albert]

IF N + S(N) = 2000
Where N is a 4-digit number,and S(N) is the sum of each digit of N,please find N=?

 

[Albert]

Let people solve it first ,then I will give my answer

 

[Albert]

Let people solve it first ,then I will give my answer

Let N=abcd , and S(N)=a+b+c+d<28 ,we have a=1, b=9
So N+S(N)=1000+900+10c+d+1+9+c+d=1910+11c+2d=2000
11c+2d=90
we get c=8 , d=1
so N=1981 #