
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
Given Jonie's four cousins' ages are distinct single-digit positive integers, two of the cousins' ages multiplied together give 28, and the other two multiply to 45, find the sum of the ages of Jonie's four cousins.

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