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If the tens digit x and the units digit y of a positive integer n are reversed,
If the tens digit x and the units digit y of a positive integer n are reversed,
游客
2025-02-23
34
管理
问题
If the tens digit x and the units digit y of a positive integer n are reversed, the resulting integer is 9 more than n. What is y in terms of x?
选项
A、10-x
B、9-x
C、x+9
D、x-1
E、x+1
答案
E
解析
正整数n的十位数是x,个位数是y,所以n=10x+y。若将n的个位和十位数字对调,所得的整数(resulting integer)为10y+x。10y+x比n多9,那么10y+x=10x+y+9,y=x+1,选择E选项。
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