This is the 3499th most frequent Russian word.
разным
"Разным" means "different" or "various" (in the dative or instrumental plural form).
The word 'разным' here indicates the variation in the manner the task was approached.
Ученики подходили к задаче разным образом.
The students approached the task in different ways.
In this sentence, 'разным' modifies 'образом' to express differing actions based on context.
Он поступает разным образом в зависимости от ситуации.
He acts differently depending on the situation.
Here, 'разным' describes 'покупателям', indicating that the customers differ from one another.