Question

If sum of digits of a number N is 22 and sum of digits of (N+4) is S, then find sum of all distinct possible values of S.

Answer 1

Sum of digits of number N = 22

Sum of digits of number N + 4 = 5

Case I :- If  last digit N ∈ [0,5]

then S = 26

Case II :- If last digit of N ∉ [0,5]

then s = 17

sum of distinct possible values of S = 26 + 17 = 43