[1] A comparative can stand alone:
The second nose is longer.
[2] A comparative can also compare X to Y: 
The second nose is longer ¦ than the first nose.
‘than’ introduces the object of comparison i.e. the
person / thing which is being compared.
[3] Latin can form the object of comparison in two ways:
[i] comparative + quam (than) + the person / thing being
compared; similar to English:
Nāsus secundus est longior quam nāsus prīmus.
[ii] The object of comparison is in the ablative case
without quam
Nāsus secundus est longior nāsō prīmō.
[i] and [ii] have the same meaning
The man is stronger than the boy.
This can be expressed in both ways as shown above:
[i] Vir [nominative] fortior est ¦ quam puer [nominative].
[ii] Vir [nominative] fortior est ¦ puerō [ablative].
Similarly:
Haec via longior ¦ quam illa est. │ Haec via longior ¦ illā
[ablative] est. │ This road is longer than that one.
Maior nātū sum ¦ quam frāter. │ Maior nātū sum ¦  frātre. [ablative]
│ I’m older than my brother.
Minor nātū sum ¦ quam soror. │ Minor nātū sum ¦ sorōre. │ I’m
younger than my sister.
[4] When
quam is used the nouns being compared are in the same case:
[i] The walls ¦ of the city are higher ¦ than the estate’s
[= (those) of the estate] 
Moenia urbis [genitive] altiora sunt quam villae [genitive].
[ii] I  have never
seen ¦ a more sensible girl ¦ than Flavia. 
Numquam puellam prūdentiōrem [accusative] vīdī quam Flāviam [accusative].
[iii] I  have seen ¦
many braver men ¦ than Achilles.
Multōs virōs vīdī fortiōrēs [accusative] quam Achillem [accusative]. 
[iv] The journey is longer by road ¦ than by sea.
Iter longius viā [ablative] ¦ quam marī [ablative] est.
Latin tutorials:
[i] comparisons with quam
[ii] ablative of comparison

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