
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
Let x be the tens digit and y be the units digit of the two-digit number. If the tens and units digits are swapped, the new number is 10y + x. According to the problem, 10y + x = (7/4)(10x + y). Solve for the number of two-digit numbers satisfying this equation.

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