A positive integer is twice another. The sum of the reciprocals of the two positive integers is (3,10). Find the two integers.

Answer 1

x = 2y x and y are both integers

0 = 0, 1 = 2, 2 =4,

(x,y) possibly = (0,0), (1,2), (2, 4), (3 6) etc

sum of reciprocals = 1/0+1/0 = undefined

1/1 + 1/2 = 1.5

1/2 + 1/4 = .75

1/3 + 1/6 = 1/2 = .5

1/4 + 1/8 = 3/8 = .375

1/5 + 1/10 = .3 =3/10

1/6 + 1/12 = .1666... + .08333... = .25

sum never reaches 3,10 but maybe you meant sum = 3/10? then x =5, y =10