Question

A group of men decided to do a job in 5 days, but 10 men kept dropping out every day. If the job was completed at the end of the 6th day, find the initial number of men who had signed up for the work.

120150160180


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Answer 1

Answer:

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Step-by-step explanation:

Let X be the initial number of men then,

According to the question,

5X = X + (X - 10) + (X - 20) + (X - 30) + (X - 40) + (X - 50)

⇒ 5X = 6X - 150

⇒ 6X - 5X = 150

⇒ X = 150 men

Answer 2

Let the number of men be x

So, they will complete the work in 5 days as they have decided but 10 men kept dropping out every day...

So, A/q

5x=x+(x-10)+(x-20)+(x-30) +(x-40) +(x-50)

5x=x+x+x+x+x+x-10-20-30-40-50

5x=6x-150

5x-6x=-150

x=150