
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
Jones's four cousins have ages that are four different single-digit positive integers. The product of the ages of two of them is 24, and the product of the ages of the other two is 30. Find the sum of the ages of the four cousins.

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