Find the number of 10-digit numbers, where the sum of the digits is divisible by 10.

Guest Apr 2, 2022

#2**0 **

Well, it looks like your "computer program" is faulty!

What is the range of 10-digits numbers? They range from: 1,000,000,000 ( one billion) to 9,999,999,999.

Remember: the question is about "the sum of the digits that are divisible by 10"

The largest such number is: 9,999,999,999 ==10 x 9 ==90 which is divisible by 10.

The smallest such number is: 1,000,000,009==1 + 9==10 which is divisible by 10

Therefore, we have: 9,999,999,999 - 1,000,000,009 =8,999,999,990 such numbers

8,999,999,990 / 10 + 1 ==**900,000,000 such numbers [whose sum of the digits is divisible by 10].**

Guest Apr 2, 2022