
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 Ponchik's pantry and Syropchik's pantry, there are a total of 100 kg of jam. Each of them took the same amount of time to consume their own supplies, despite having different appetites. "If my supply was equal to yours, I would have eaten it in 45 days," Ponchik told his friend. "And if my supply was equal to yours, I would have eaten it in just 20 days," replied Syropchik. How much jam and at what rate did each of them consume? (Don't forget to specify the units of measurement.)

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