What was the resolution to problem in Anne of Green Gables?

The main problem in Anne of Green Gables is the misunderstanding that leads to Anne Shirley being sent to live with Matthew and Marilla Cuthbert. They intended to adopt a boy to help on the farm, but they were sent Anne instead.

Here's how the problem is resolved:

* Anne proves herself to be a valuable asset: Despite her initial mistakes and impulsiveness, Anne demonstrates her intelligence, resourcefulness, and kind heart. She quickly learns the household chores, helps Marilla with her gardening, and even improves the quality of life on the farm.

* Matthew and Marilla's affection grows: Initially apprehensive, Matthew and Marilla begin to develop a deep affection for Anne. They appreciate her vibrant personality, her zest for life, and her ability to bring joy and laughter into their lives.

* Anne's acceptance: Ultimately, Anne is accepted by Matthew and Marilla as their own. They realize that she is the perfect fit for their family and their lives.

So, the resolution is a happy one: Anne finds a loving home and a family she truly belongs to. Matthew and Marilla discover that the little orphan girl they initially rejected has become an irreplaceable part of their lives.