If the sum and reciprocal of a number is equal to 2, the number is

Suppose the number is a. So, according to the question - a + 1/a = 2 (a^2 + 1)/a = 2 a^2 + 1 = 2a Or, a^2 + 1 -2a = 0 We can say that (a - 1)2 = 0 So, a =1 Hence the required number is 1, whose sum and reciprocal are equal to 2.