# A Logic Puzzle

> A short logic puzzle to give your brain a workout. Can you solve it? Please do not post the answer – just share how long it took you.

- Canonical page: https://shorin.me/en/blog/2024/05/zadacha/
- Page language: English
- Published: 2024-05-11
- Tags: Mathematics
- Russian version: https://shorin.me/blog/2024/05/zadacha/index.md

If anyone is tired of relaxing, here is a little logic puzzle for you:

A scientist in a research laboratory is trying to find the sum of two quantities he is studying. He knows that each is a positive integer no greater than seven.

A little later, he learns their product but is still unable to determine the exact value of their sum.

After some time, he is told that the first quantity is greater than the second, and immediately works out the exact sum.

What was his answer?

An unusual request for LinkedIn: please do not post the answer in the comments. Do not deprive others of the pleasure of working it out for themselves.

Instead, if you had never solved this type of puzzle before – in other words, you did not already know the method – but still managed to solve it, please tell me in the comments how long it took you.

## Original posts

- LinkedIn: <https://www.linkedin.com/posts/oleg-shorin_brainexercise-mathematics-auuauyauuauyaukavhavbaugauyauuaumaulautaugaukauuauuauyaukavhavbaugauyavi-activity-7194946848753598464-iAh9>
