Math, asked by suhasmessi20, 3 months ago

2 women and 5 men can together finish an embroidery work in 4 days, while 3
women and 6 men can finish it in 3 days. Find the time taken by 1 woman aloneto
finish the work, and also that taken by I man alone.​

Answers

Answered by varchaswjaiswal7299
1

Step-by-step explanation:

Let the work done by man and woman per day be x and y respectively.

When the work is completed in 4 days

Since 5 men and 2 women complete the work in 4 days

therefore work done by 5 men and 2 women in 1 day = 41

∴5x+2y=41⟶eqn1

When the work is completed in 3 days

Since 6 men and 3 women complete the work in 3 days

therefore work done by 6 men and 3 women in 1 day = 31

∴6x+3y=31⟶eqn2

Multiplying by 3 in eqn1, we get

⇒15x+6y=43⟶eqn3

Multiplying by 2 in eqn2, we get

⇒12x+6y=32⟶eqn4

On subtracting eqn 4 from eqn 3, we get

⇒15x+6y−12x−6y=43−32

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