All the children were arranged in rows. All the rows containing equal number of students. If 4 students were removed from each row 10 more rows had to be added.  If 5 students were added in each row number of rows were reduced by 8. Find the number of children. A. 400 B. 500 C. 700 D. 800


D


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geekraji

  • Nov 15th, 2005
 

Question: All the children were arranged in rows. All the rows containing equal number of students.
If 4 students were removed from each row 10 more rows had to be added.  If 5 students
were added in each row number of rows were reduced by 8. Find the number of children

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ganeshprabu

  • Apr 15th, 2006
 

hi

can u post all the solutions to the querys, which will b useful 4 us

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infor

  • May 1st, 2006
 

Lets assume we have X Col and Y rows. So now total childrenwill be XY. so we have two equations here 1. (x-4)(y+10) and (x+5)(y-8) and both are equal. as the number of children are same. So if equate these eqns. we get y=2x. now substitute each of options eg. xy=800 and then substuting y=2x we get 2x to the power 2= 800 which means x=20 and y=40.For all pther options we dot get exact square root.

SK

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ubron

  • Jan 11th, 2007
 

Adding on to what infor said above. there are two equations (x-4)(y+10)=xy and (x+5)(y-8)=xy. The simplified form of these two equations are 10x-4y= 40 and 8x-5y= -40. Solving these two equations we get x=20 and y=40.So therefore the no of students are xy(20*40) ie 800(D).

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kohilavani

  • Dec 29th, 2014
 

400

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