maths plz help 急!!!

2013-05-22 8:12 pm
It is given that x#y=xy-x-y+1. a and b are positive integers and 10 =a#b. what is the
sum of all possible values of a.

回答 (1)

2013-05-22 8:28 pm
✔ 最佳答案
x#y = xy – x – y + 1 = x(y – 1) – (y – 1) = (x – 1)(y – 1) ∴ (a – 1)(b – 1) = 10a – 1 = 1, 2, 5 or 10 a = 2, 3, 6, 11 ∴ Sum of all possible values of a= 2 + 3 + 6 + 11 = 22
參考: My Maths World


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