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统编初中课本《代数》(第一册)Pl19复习参考题二28“写出任意一个两位数,然后把它的十位数字与个位数字交换位置,则所得的数与原来的数的和能被11整除吗?用代数式表示一个两位数,把这个两位数的数十位数字与个位数字交换位置,则所得到的数与原来的数的和等于11与什么代数式的积?”设这两位数为ab,即10a+b,交换a,b的位置得新数ba,即10b+a,它们的和为11(a+b),显然能被11整除。
Unified junior high school textbook “Algebra” (Vol. 1) Pl 19 Review Reference 2 of 28 “Write any two-digit number, and then swap its tens place with the one-digit number position, then the resulting number and the original number of Is it possible to divisible by 11? Use an algebraic expression to represent a two-digit number. Swap the tens digits of this two-digit number with a one-digit number. The sum of the resulting number and the original number is equal to the product of 11 and what algebraic expression. ”" Let these two digits be ab, that is 10a + b, exchange a, b position new number ba, that is 10b + a, their sum is 11 (a + b), apparently can be divisible by 11.