Context: Co-workers are talking about the task at the office.
A: Can you do this task?
B: Sure, but I will do it in the afternoon. I am currently engaged with other tasks.
Please check them.
Is "engaged with other tasks" suitable?
Context: Co-workers are talking about the task at the office. A: Can you do this? B: Sure, but 'l'm busy right now.
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Context: Co-workers are talking about the task at the office.
A: Can you do this?
B: Sure, but 'l'm busy right now. I' ll do it this afternoon.
"engaged with other tasks" is much too formal.