Math, asked by vicky78582, 16 days ago

A and B together can do a work in 8 days, B and C together can complete it in 12 days, A and C together can complete it in 16 days, then find time taken by A alone to complete the work.​

Answers

Answered by MathMaster03
1

Answer:

6

Step-by-step explanation:

According to the question,

A+B=8 ------- Equation 1

B+C=12--------Equation 2

C+A=16--------Equation 3

Now, According to Equation 3 and Equation 1

A= 16 - C , and A= 8 - B Respectively

16 - C = 8 - B

C - B = 8 -------Equation 4

According to Equation 2, C + B =12

Add Equation 2 and Equation 4

    C + B = 12

+  C - B = 8

Ans) 2C=20

C=20/2 = 10

Solve Equation 3 ; A + 10 =16

Therefore A = 6 !!  

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