The daughter of a relative of mine, a fifth-year faculty pupil in Russia, obtained the next math homework from her instructor:

Here’s my translation:

Logical activity

No. 26. Students have been fixing a activity wherein that they had to determine the lacking numbers:

(DIAGRAM)

They got here up with completely different solutions:

(THREE DIAGRAMS)

Find the foundations utilized by the scholars to fill out the squares, and provide you with a fourth answer.

Explaining the primary two options is straightforward. In the primary answer, the coed assumed that in every horizontal line, the sum of the primary two numbers equals the third one. In the second answer, the coed assumed that the distinction between the numbers in every vertical row is identical.

The woman could not clarify the third diagram and requested her dad and mom, who then requested me. Unable to assist them, I’m posting this query.

My query: Is there a logical clarification of the third answer?

Looking on the third answer, I seen that the numbers in every horizontal line add as much as the identical quantity, 80, however how may one get 80 from the unique diagram within the first place? Also, the digits in every horizontal line add as much as the identical quantity, 17, however, once more, how may one get 17 within the first place? It appears I stumbled upon false leads.

Being an expert physicist, I really feel ashamed to inform the woman’s dad and mom that I can not clear up the issue. I discover it probably that the instructor made a mistake within the third diagram, however I’m afraid to guess on that chance, so I hope you’ll be able to counsel a sound logical clarification of the third diagram and thereby assist me save my face.