what are some distributive property equations that equal 16, 18, 23, 25, 26, and 29

Question

x must equal 16, 18, 23, 25, 26, or 29

Answer 1

Take the first three numbers 16, 18 and 23 and the operators multiply (*) and add (+). We can write: 16*(18+23)⇔16*18+16*23 because 16*41 (=656) is the same as 288+368 (=656).

We can also write (18+23)*16⇔18*16+23*16. Therefore multiply is distributive over add.

We can take the remaining three numbers in any order and perform the same operations, for example: 26*(29+25)⇔26*29+26*25 and (29+25)*26⇔29*26+25*26 (=1404).

Using all the  numbers we can write:

(18+23)*(26+29)⇔18*26+18*29+23*26+23*29=(16+25)*(26+29)⇔16*26+16*29+25*26+25*29

Answer 2