
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 top of one tree is 24 feet higher than the top of another tree. The heights of the two trees are in the ratio 5:7. Let x be the height of the shorter tree. Then the height of the taller tree is x+24. Given the ratio of the heights is 5:7, we have the equation x/(x+24) = 5/7. Solve for x to find the height of the shorter tree, and subsequently, the height of the taller tree.

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