Question 25
A strange math teacher gave his students this problem. He first wrote the
following eight digits: 1, 2, 3, 4, 5, 7, 8 and 9 on the board. He then asked his
students to split these digits into two groups, such that each group has four digits;
and then arrange and combine the four digits in each group to form two 2-digit
numbers and add them together. Finally, the result of adding the two 2-digit
numbers in each group must be the same 2-digit number. What the largest
possible value of this sum?
following eight digits: 1, 2, 3, 4, 5, 7, 8 and 9 on the board. He then asked his
students to split these digits into two groups, such that each group has four digits;
and then arrange and combine the four digits in each group to form two 2-digit
numbers and add them together. Finally, the result of adding the two 2-digit
numbers in each group must be the same 2-digit number. What the largest
possible value of this sum?