
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 student was given a problem requiring them to divide the first given number by the second and then multiply the quotient by the number of which $\frac{2}{3}$ equals 4. However, the student instead subtracted the second given number from the first and added $\frac{2}{3}$ of 6 to the resulting difference. Despite this, the answer they obtained (10) was the same as it would have been with the correct solution. What were the two numbers given in the problem?

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