
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 pantry of Ponchik and Syrupchik, there is a total of 100 kg of jam. Both little men finished eating their supplies in the same amount of time despite having different rates of consumption. "If my supply were equal to yours, I would have eaten it in 45 days," Ponchik said to his friend. "And if my supply were equal to yours, I would have eaten it in just 20 days," Syrupchik replied. How much jam did each little man eat and at what rate of consumption? (Don't forget to specify the units of measurement.)

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