Respuesta :

We are to complete the addition in base seven

[tex]\begin{gathered} 24_{\text{seven }} \\ + \\ 65_{seven} \\ ---- \\ ---- \end{gathered}[/tex]

Computing the first part

[tex]4_{\text{seven}}+5_{\text{seven}}=9_{\text{ten}}[/tex]

Converting base 10 to base 7

This gives

[tex]9_{\text{ten}}=1\times7+2\times1=12_{seven}[/tex]

Hence

[tex]4_{\text{seven}}+5_{\text{seven }}=12_{seven}[/tex]

Therefore the answer is

[tex]12_{\text{seven}}[/tex]

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