SOLUTION: a designer, attempting to arrange the charaters of his artwork in the form of a grid with equal number of rows and columns, found that 24 characters were left out. When he tried t

Question 40642This question is from textbook
: a designer, attempting to arrange the charaters of his artwork in the form of a grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
isbn 0-321-23383-2, fourth edition This question is from textbook

Answer by rajagopalan(174) (Show Source): You can put this solution on YOUR website!
Let the original grid size = n
No of charcters = (n*n)+24
If one row & one colmn are increased grid size = n+1
No of Characters = (n+1)*(n+1)- 25
equating n^2+24 = ((n+1)^2)-25
we find
n^2+24 = n^2+2n+1-25
24+25 = 2n+1
49-1 = 2n
24 = n
No of characters = n^2+24 = 576+24 = 600
cheers
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