
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
Grandfather Vendelín went with his two grandsons Cyril and Method to buy fishing rods. The price of the rods caught both Cyril's and the grandfather's attention. It was a four-digit number, in which the first digit was one more than the third digit but one less than the last digit. The sum of all four digits was 6. Cyril also noticed that the first two digits formed a two-digit number that was 7 greater than the number formed by the second two digits. What intrigued the grandfather was that the number was the product of his age and the ages of both grandsons, with each grandson being older than one year.

How old was Grandfather Vendelín and how old were his grandsons?

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