
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 crystal, while in the formation stage, uniformly increases its mass. Observing the formation of two crystals, it was noted that over a year the first crystal increased its initial mass by $4 \%$, and the second by $5 \%$, while the mass increase of the first crystal in 3 months was equal to the mass increase of the second crystal in 4 months. What were the initial masses of these crystals, given that after each increased by 20 grams, the ratio of the mass of the first crystal to the mass of the second crystal reached 1.5?

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