
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
A mathematician was asked about the ages of his children, and he responded:

- My wife and I have three children. When our first child was born, the total age of all family members was 45 years. A year ago, when our third child was born, the total age was 70 years, and now the total age of the children is 14 years.

How old is each child, given that all family members share the same birthday?

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