S(n) properties Recently, while reading a number theory textbook

Destinee Hensley

Destinee Hensley

Answered question

2022-03-31

S(n) properties
Recently, while reading a number theory textbook for Olympiads, i came across the following property:
S(n1+n2)S(n1)+S(n2)

Answer & Explanation

Kathleen Sanchez

Kathleen Sanchez

Beginner2022-04-01Added 7 answers

Step 1
When you add two numbers, the sum of two facing digits is preserved, unless there is a carry. In this case, the sum is diminished by 9.
 1234+56786912
4+82+1
3+70+1
2+68,
1+56.

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