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To find the number of days A alone can finish the job, let`s consider the work done by each pair of workers per day.
Let`s assume that A, B, and C can do 1/x, 1/y, and 1/z of the job per day, respectively.
According to the first statement, A and B together can finish the job in 20 days. This means that the work done by A and B per day is 1/20.
Similarly, B and C together can finish the job in 30 days, so the work done by B and C per day is 1/30.
And according to the third statement, A and C together can finish the job in 24 days, which means the work done by A and C per day is 1/24.
Let`s write equations using these values:
1/x + 1/y = 1/20 ...(1)
1/y + 1/z = 1/30 ...(2)
1/x + 1/z = 1/24 ...(3)
To find the value of x, we need to eliminate y and z from these equations. To do this, let`s subtract equation (2) from equation (3):
(1/x +