What is the sum of the smallest and second-smallest positive integers $a$ satisfying the congruence $$27a\equiv 17 \pmod{40}~?$$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the sum of the smallest and second-smallest positive integers $a$ satisfying the congruence $$27a\equiv 17 \pmod{40}~?$$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
62
What is the sum of the smallest and second-smallest positive integers $a$ satisfying the congruence $$27a\equiv 17 \pmod{40}~?$$
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