it takes 52 days to complete an agreement deal by a certain number of men. afetr 17 days 300 men are added and 21 days are reduced. how many men were working intially

• Let the no. of men be 'X'
  Then the no. of man-days(no. of men* no. of days) is always equal for a work
  For 17 days, the people working are X
  After 17 days, 300 are added to X, so the no. of men is now (300+X)
  And the no. of days is reduced by 21,so the (300+X ) people will work for (52-17-21) days
  So
  X*52=(X*17) + (X + 300)*(52-17-21)
  Hence the ans is X=200 men were working initially
• 9 years agoHelpfull: Yes(7) No(1)
• 52 days ----->x men
  after 17 days --->300 men added
  52-17=35----->(x+300) remaining work
  and 21 daysreduced after adding 300 men
  so for 35-21=14
  by this we have
  35--->(x+300)
  14---?x
  by cross multiplicatin we get
  14x+4200=35x
  21x=4200
  x=200
• 9 years agoHelpfull: Yes(7) No(0)
• 200 men
  
  If 'x' men were working initially, their 1 day work=1/52, so 1 men 1 day work=1/(52x)
  As after adding 300 men, days reduces to 52-21=31, i.e. up to 17 days 'x' men works & for another 14 days 'x+300' men works
  So (17/52) + (x+300)*[14/(52x)]=1
  On solving, x=200
• 9 years agoHelpfull: Yes(2) No(0)