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 $20$?
Question:
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 $20$?
Answer:
Let's think step by step.

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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 $20$?
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