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Answer:
[tex] F = m_{A}a_{A} \rightarrow \: 10 = 100 a_{A} \\ \therefore \: a_{A} = 0.1m {s}^{ - 2} \\F = m_{B}a_{B} \rightarrow \: 10 = 90 a_{B} \\\therefore \: a_{B} = 0.1111m {s}^{ - 2}[/tex]