Question

 A certain number man can finish a piece of work in 50 days. If there are 7 more men, the work can be completed 10 days earlier. How many men were originally there?

Answer 1

Let the total men=x
so days taken= 50
so work= 50x______1

If total men=x+7
Days taken=40
so Work=40(x+7)_______2

1=2

50x=40x+280
10x=280
x=28 men

So total men are 28 men..

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Answer 2

let number of men be x and work is 1.
then,
work done: number ofdays×number of men
=50x.
but work done is 1.
so,50x =1 (¡)
again work done= no:of days × no of men.
=40×(x +7).
=40x+280.(¡¡).
from (¡) and (¡¡)
50x=40x +280
50x-40x=280
10x =280
x=280/10x=28.
therefore , required no: of men are 28.