Eleven members of the Middle School Math Club each paid the same amount for a guest speaker to talk about problem solving at the

Question

3 years ago

9

ir math club meeting. They paid their guest speaker $1⎯⎯A⎯⎯⎯2⎯⎯ $ 1 A 2 . What is the missing digit A A of this 3 3 -digit number?

2 answers:

Alla [95] · Answer 1 · 2022-06-25T16:36:38+03:00

Alla [95]3 years ago

4 0

SINCE THEY ALL PAID EQUALLY, IT HAS TO BE A MULTIPLE OF 3. BY TRIAL AND ERROR, THE FIRST POSSIBLE MATCH IS 3.. SINCE 132 IS DIVISIBLE BY 11

Scrat [10] · Answer 2 · 2022-06-25T17:54:09+03:00

Scrat [10]3 years ago

3 0

Answer:

A=3

Step-by-step explanation:

This number, 1A2, must be divisible by 11. Using trial and error, we can quickly find that this number is 132.

BTW: Is this from AoPS by any chance? It looks quite familiar.