2 Prince Hans of the Southern Isles has twelve older brothers. If Hans' oldest brother has an
age that is eight years more than his twice his age and the sum of their ages is sixty two, how
old is Hans?
(1) 16
(3) 18
(2) 24
(4) 27

a is the correct

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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