SOLUTION: In a hall 192 children are made to sit in rows and columns and number of rows is more than volumn by4 . What is the numbr of children in each column
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Question 1020623: In a hall 192 children are made to sit in rows and columns and number of rows is more than volumn by4 . What is the numbr of children in each column Answer by ikleyn(52786) (Show Source):
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In a hall 192 children are made to sit in rows and columns and number of rows is more than column by 4 . What is the number of children in each column
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1.
Try to factor the number 192 into the product of two positive integers with the difference of 4 between them.
Actually, such factorization is unique: 192 = 16*12.
So, the number of columns is 12.
2.
The other way is to solve the problem using equations.
Let x be the (unknown) number of columns.
Then the number of rows is x+4, and your equation is
x*(x+4) = 192, or = .
Now you can apply the quadratic formula or use factoring. Let's factor left side polynomial:
= (x+16)*(x-12).
Then your equation is (x+16)*(x-12) = 0.
Its roots are x = -16 and x = 12.
Only positive x = 12 suits the condition.
Answer. 12 columns.
