April 2023
Problem of the Month
How Many Oranges?
Submitted by K. Sengupta
Three friends Amy, Brad, and Chadwick have a certain number of oranges in their possession.
It is known that:
(1) The number of oranges possessed by each of the three friends are two digit positive integers.
(2) The number of oranges possessed by Brad is obtained by adding the two digits of the number of oranges possessed by Amy and summing the result with the original
number of oranges in Amy's possession.
(3) The number of oranges possessed by Chadwick is obtained by reversing the digits corresponding to the number of oranges in Brad's possession.
(4) The total number of oranges possessed by the three friends is 272.
Determine the number of oranges possessed by each of the three friends.