SOLUTION: Can you please help me solve this question? My working out? It believe it has to be 2 digit two digit number in which you have to add. My Question, Two-digit numbers N su

Question 756857: Can you please help me solve this question?
My working out?
It believe it has to be 2 digit two digit number in which you have to add.
My Question,
Two-digit numbers N such that N+2 is also a two-digit number, the digit sum of N+2 is less the digit sum of N?

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

= tens digit of
= units digit of
= sum of digits of

If , then
is the units digit of ,
is the tens digit of ,
is the sum of digits of ,
and is not a solution.

If <--> , then
the units digit of is
, and
is the tens digit of .
Then, the sum of digits of is
and is a solution.
All numbers ending in 8 or 9 are solutions.

Examples of solutions for N: 18, 19, 28, 29, 38, 39, ...
N=18, sum of digits of 18=9, N+2=20, sum of digits of N+2 = 2
N=19, sum of digits of 19=10, N+2=21, sum of digits of N+2 = 3
N=28, sum of digits of 28=10, N+2=30, sum of digits of N+2 = 3
N=29, sum of digits of 29=11, N+2=31, sum of digits of N+2 = 4
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