A number is 3 1/3 greater than another. If the sum of the numbers are doubled the answer would be 19 1/2

smaller number = 3 5/24

larger number =  6 13/24

Step-by-step explanation:

let the larger number = x

smaller number = y

x - y = 3 1/3 equation 1

2(x +y) = 191/2 equation 2

divide equation 2 through by 2

x + y = 9 3/4  equation 3

subtract equation 1 from 3

2y = 6 5/12

y = 77/12 x 1/2 = 3 5/24

substitute for y in equation 1

x - 3 5/24 = 31/3

x = 3 1/3 + 3 5/24

x = 6 13/24

3 and 5/24

Step-by-step explanation:

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the first option is the answer.