Question

Si abc(11)-mn9 (11) = cba(11). Calcule m. n.
abc ,mn9 y cba estan en base 11 xd​

Answer 1

Respuesta:

10

Explicación paso a paso:

$\overline {abc}_{11}-\overline {mn9}_{11}=\overline {cba}_{11}\\\\\overline {abc}_{11}-\overline {cba}_{11}=\overline {mn9}_{11}\\\\\\Se\ sabe\ que:\\\overline {pqr}_n-\overline {rqp}_n=\overline{xyz}_n\\\circledast x+z=n-1\\\circledast y=n-1\\\\En\ el\ problema:\\\circledast m+9=11-1\\m+9=10\\m=1\\\\\circledast n=11-1\\n=10\\\\Entonces:\\m.n=1.10=10$