
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 teenagers Sam and Jo notice the following facts about their ages:
1. The difference between the squares of their ages is four times the sum of their ages.
2. The sum of their ages is eight times the difference between their ages.
What is the age of the older of the two?
A 15
B 16
C 17
D 18
E 19

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