carl thought of 5 numbers and told danny all the sums that could be made by adding the numbers in pairs. the list of sums is given below. what are the five numbers

6,7,8,8,9,9,10,10,11,12

I thought of 34426 but the 11 does not work

To find the five numbers, we need to analyze the list of sums provided and deduce the original numbers from those sums.

Let's analyze the sums one by one:

6 = 1 + 5
7 = 1 + 6
8 = 1 + 7 OR 2 + 6
8 = 2 + 6 OR 3 + 5
9 = 2 + 7 OR 3 + 6
9 = 2 + 7 OR 4 + 5
10 = 3 + 7 OR 4 + 6
10 = 3 + 7 OR 4 + 6
11 = 4 + 7 OR 5 + 6
12 = 5 + 7

Based on this analysis, we can deduce the five numbers:

1, 5, 6, 7, 8

Therefore, Carl thought of the numbers 1, 5, 6, 7, and 8.

It seems that your suggested numbers, i.e., 3, 4, 4, 2, 6, are not consistent with the given list of sums.