Question

Four men and six women together can complete a work in nine days,while six men and three women can complete the work in nine days.In how many days can two men and three women complete the work?​

Answer 1

Step-by-step explanation:

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let no of men and women be x and y respectively

according to given conditions..(1)

4x+6y=9...(1)

according to given conditions..(2)

6x+3y=9...(2)

equation (2)×2--> 12x+6y=18....(3)

solve (1)&(3)

subtract (1)&(3)

12x+6y=18

4x+6y=9

- - -

___________

8x=9

x=8/9

substitute x=8/9 in (1)

4x+6y=9

4×8/9+6y=9

32+6y=81

6y=81-32

6y=49

y=49/6

to find 2x+2y=?

2×8/9+2×49/6

16/9+2×49/6

3.77×8.16

30.76

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