
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
In the Besfamilies, it is customary to calculate the age of the family, which is the sum of the ages (the number of full years) of the father, mother, and all the children. On December 31st, the Besfamilies celebrate the birthday of their family. In the year when the youngest child, Vasya, was born, the family was 101 years old. A few years later, the Besfamilies celebrated their 150th anniversary. How many children are there in the Besfamilies?

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