
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, $\frac{1}{6}$ of the boys' team and $\frac{1}{7}$ of the girls' team failed to meet the standards and were eliminated. Throughout 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, 48 boys and 50 girls had failed to meet the standards. However, among the athletes who did meet the standards, the number of girls was twice the number of boys. What was the initial number of team members?

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