Question

Si: aaa(7) = 291(11) . Halla a

Answer 1

Pasamos a la base 10, descomponiendo:

aaa(7) = a.7² + a.7 + a

aaa(7) = 49a + 7a + a

aaa(7) = 57a

291(11) = 2.11² + 9.11 + 1

291(11) = 242 + 99 + 1

291(11) = 342

Igualando:

aaa(7) = 291(11)

57a = 342

a = 6

RESPUESTA: 6