If $a$ and $b$ are integers such that $ab\equiv 17\pmod{20}$, then what is the remainder when $(a+10)(b+10)$ is divided by $20$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $a$ and $b$ are integers such that $ab\equiv 17\pmod{20}$, then what is the remainder when $(a+10)(b+10)$ is divided by $20$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
17
If $a$ and $b$ are integers such that $ab\equiv 17\pmod{20}$, then what is the remainder when $(a+10)(b+10)$ is divided by $20$?
train