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Nancy has a two digit numbers if she writes a 3 to the right

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Nancy has a two digit numbers if she writes a 3 to the right of this number she will have a three digit number and the different between the two numbers is 777 What is two digit numbers?
求翻译和解题思路,
ps.此题是2009年南京外国语学校综合测试卷中的原题.
86.
863 - 86 = 777
原题和你的抄写都有错误.原题是(请与你的抄写做个比较,看有何不同?):
Nancy has a two-digit number, if she write a 3 to the right of this number, she will have a three-digit number and the different between the two numbers is 777; What is the two-digit number?
合乎英语文法的句子应该是:
Nancy has a two-digit number. If she writes a 3 to the right of this number, she will have a three-digit number and the difference between the two numbers is 777. What is the two-digit number?
(看看原题的错误在哪儿?)