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.  Choose the correct choice:	A) 9	B) 10	C) 7	D) 12	E) 13
213ab may be written as   213ab = 21300 + 10a + b   When 213ab is divide by 100, the reminder is 10a + b. The only way for the remainder to be less that 10 is that a = 0. Hence the sum of the digits is   2 + 1 + 3 + 0 + b = 13   Solve for b   b = 7   correct answer 7
<result>C</result>
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.