# Can you calculate the value of x ?

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If the work done by (x-1) men in (x+1) days is to the work done by (x+2) men in (x-1) days are in the ratio 9 : 10.
Can you calculate the value of x ?

posted Dec 31, 2014

``````work done in first case =  (x - 1) (x + 1)
work done in second case = (x + 2) (x - 1)

ration of the above is :
(x - 1) (x +1) / (x + 2) (x - 1) = 9 / 10
(x + 1) / (x + 2) = 9 / 10
10x + 10 = 9x + 18
10x - 9x = 18 - 10
x = 8

So the value of x is 8
``````

(x-1)(x+1)/(x-1)(x+2)=9/10
so that value of x is =8

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