Question

Eleven members of the Middle School Math Club each paid the same amount for a guest speaker to talk about problem solving at their math club meeting. They paid their guest speaker $1−A−2−$1_A_2_. What is the missing digit AA of this 33-digit number?

Answer 1

The correct answer for the question that is being presented above is this one: "The missing digit is 3."

The missing digit is represented by A  ⇒  $1A2, where A represents a whole number from 0 to 9.

Try substituting any number from 0 to 9 for A (the middle digit or tens place) , then divide by 11 members.

Option 2:  A = 3  ⇒  $1 3 2
$ 132 ÷ 11 = $12

The only one-digit that gives a whole number quotient when it takes the place of tens digit in $1 __2  is 3.   Because $ 132 ÷ 11 = $ 12. (Option 2)

The missing digit is 3.