
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
The sum of two positive numbers is $7$ times their difference. What is the ratio of the larger number to the smaller number?
A) $\frac{7}{6}$  
B) $\frac{3}{2}$  
C) $\frac{4}{3}$  
D) $2$  
E) $\frac{5}{3}$

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