SOLUTION: A number of the form 213ab, where a and b are digits, has a reminder less than 10 when divided by 100. The sum of all the digits in the above number is equal to 13. Find the digit

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Question 311272: A number of the form 213ab, where a and b are digits, has a reminder less than 10 when divided by 100. The sum of all the digits in the above number is equal to 13. Find the digit b.
A) 5 B) 7 C) 6 D) 8 E) 9

Found 2 solutions by fractalier, Stitch:
Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website!
If you divided 213ab by a hundred, and got a remainder less than ten, it tells you that "a" must be zero.
If all the digits sum up to 13, "b" must be 7.

Answer by Stitch(470) (Show Source):
You can put this solution on YOUR website!
21300 / 100 = 213 Remainder 0
If the number divided by 100 has a remainder of less than 10, then A must equal zero.
Then we would have 2130B
The problem also states that the sum of all the digits is equal to 13

The answer is B