# Linear Diophantine Equations - Problem Solving

###### This wiki is incomplete.

PS: Here are examples of great wiki pages — Fractions, Chain Rule, and Vieta Root Jumping

This is a placeholder wiki page. Replace this text with information about the topic of this page. For further help in starting a wiki page, check out Wiki Guidelines and Wiki Formatting or come chat with us.

[[heading|Problem Solving - Basic]

Add explanation that you think will be helpful to other members.

## Example Question 1

This is the answer to the question, with a detailed solution. If math is needed, it can be done inline: \( x^2 = 144 \), or it can be in a centered display:

\[ \frac{x^2}{x+3} = 4y \]

And our final answer is 10. \( _\square \)

Jack, Charlie and Andrew went on an egg hunt today, each of them carrying one basket. 300 eggs were hidden in the beginning of the day. At the end of the day, the numbers of eggs in each of the boys' baskets are three consecutive integers. In how many ways could this happen?

**Clarification:**

Order doesn't matter. For example, in the order of Charlie, Andrew and Jack, \((3,2,1)\) and \((2,3,1) \) count as one way.

**Cite as:**Linear Diophantine Equations - Problem Solving.

*Brilliant.org*. Retrieved from https://brilliant.org/wiki/linear-diophantine-equations-problem-solving/