
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
On the first day of the sports competition, $1/6$ of the boys' team and $1/7$ of the girls' team did not meet the qualifying standards and were eliminated. During the rest of the competition, the same number of athletes from both teams were eliminated for not meeting the standards. By the end of the competition, a total of 48 boys and 50 girls did not meet the qualifying standards. However, the number of girls who met the qualifying standards was twice the number of boys who did. What was the initial size of each team?

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