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

Discussion in 'Algebra' started by Albert, Apr 22, 2022.

  1. Albert

    Albert

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    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, Apr 22, 2022
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  2. Albert

    Albert

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    Let people solve it first ,then I will give my answer
     
    Albert, Apr 22, 2022
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  3. Albert

    Albert

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    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 #
     
    Albert, Apr 23, 2022
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