
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Someone bequeathed 46800 forints to his children in such a way that this amount should be equally divided among them. However, before the inheritance is distributed, two children die, which results in each of the surviving children receiving 1950 forints more than they would have otherwise received. The question is: how many children were there originally?

Present the answer in LaTex format: \boxed{Your answer}
user