## Problem

n machines of factory A and 13 machines of factory B has produced together

n^{2} +10n -14 articles. Each machine produced the same number of articles.

## Answer Submission Is Not Available

Form is valid through June 2017

## Solution

Dear visitors and friends of the site!

Thank you for your numerous solutions submitted in June.

Sadly, none of them was perfect.

Here is my solution:

n^{2} +10n-14 is a multiple of (n+13),

so the same holds for n^{2} +10n - 14 – (n+13)(n-3) = 25.

Hence, n+3 is a factor of 25, so n not greater than 12.

Thus factory B has more machines.Have a great summer.

Next problem will appear on the 1st of June.

With best wishes, Serge Hazanov
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