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The enigma of the horses

The enigma of the horses



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Mac's horse is darker than Smith's, but faster and older than Jack's, which is even slower than Willy's, which is younger than Mac's, which is older than Smith's. , which is lighter than Willy's, although Jack's is slower and darker than Smith's.

Which is the oldest horse, which is the slowest and which is the clearest?

Solution

The oldest is Mac's horse, Jack's slowest and Smith's lightest.

To see how to reach this conclusion, we will answer each of the three questions separately. In the first place, to know the oldest horse, we will extract all the information from the statement regarding age. Bearing in mind that the problem sometimes mentions which is older and sometimes which is darker, to simplify, we will translate the sentences to adapt them to the question that we must answer so that we will always talk about the oldest.

We will identify each horse with the name of its owner and use the symbols to indicate when one horse is older than another. In the statement, they give us three indications about the age of the horse from which we draw the following conclusions:
- Mac> Jack (Mac's horse is older than Jack's)
- Willy Smith (Mac's horse is older than Smith's)

Thus, Mac's horse is the oldest.

Below we show the conditions related to the speed of the horse that we extract from the statement and in which we will use the symbols to indicate when one horse is slower than another:

- Mac Willy (Jack's horse is slower than Willy's)
- Jack> Smith (Jack's horse is slower than Smith's)

Thus, Jack's horse is the slowest.

Below we show the conditions related to the tone of the horse that we extract from the statement and in which we will use the symbols to indicate when one horse is clearer than another:

Mac Willy (Smith's horse is clearer than Willy's)
Jack <Smith (Smith's horse is clearer than Jack's) Therefore, Smith's horse is the clearest.