If the average of four packages is 4 pounds, the total will be 16 pounds.
We have the weight of a package to be x. Since each package weighs 2
pounds more than the previous package, the other packages weigh x+2,
x+4,and x+6

x+x+2+x+4+x+6 = 16 => 4x+12 = 16 => x = 1

The weights of the packages are 1,3,5,and 7 pounds.

Evaluating answer options,
1+3+5(9) is possible
3+7(10) is possible
5+7(12) is possible
1+5+7(13) is possible

Only 14(Option E) is not possible as the total weight, in pounds, of any combination of the packages
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