Question

. A and B can complete a job in 18 days; B and C can do it in 24 days; A and C can do it in 36 days. In how many days will A, B and C finish it, working together ?​

Answer 1

Answer:

According to the question

A + B = 18 -------------(1)

B + C = 24 ----------------(2)

C + A = 36---------------(3)

subtracting equation 1 and 2 ( using elimination method), we get

A - C = -6 --------------(4)

adding equation 3 and 4 ( using elimination method), we get

2A = 30

so, A = 15

substituting the value of A in 1, we get,

15 + B = 18

so, B = 3

substituting the value of B in 2, we get,

3 + C = 24

so, C = 21

THEREFORE, A = 15, B = 3, C = 21

Hope it helped :)