My brother's safe deposit box number is made up of four digits
in the pattern AABB.
The third digit is the sum of the first two digits.
The two-digit number formed by the middle two digits is the square
of the last digit.
What is my brother's safe deposit box number?
Solution to the Problem:
My brother's safe deposit box number is 3366.
From the two clues, we can write:
B = 2A.
10A + B = B2.
Substituting B = 2A in the second equation, we get:
12A = 4A2
So, A = 0 or A = 3. But A cannot equal 0 because B would equal 0
and the pattern would be AAAA.
Hence, A = 3 and therefore B = 6.
Correctly solved by:
| 1. John Funk | Ventura, California |
| 2. James Alarie | Flint, Michigan |