Question

easy question

Answer 1

Yes?

Answer 2

1)rohit drew a rectangular grid of 529 cells ,arranged in 23 rows and 23 columns and filled each cell with a number.The numbers with which he filled each cell were such that the numbers of each row taken from left to right formed an arithmetic series and the numbers of each column taken from top to bottom formed an arithmetic series.The seventh and the sevententh numbers of the fifth row were 47 and 63 respectively while the seventh and seventeenth numbers of the fifteenth row were 53 and 77 respectively.What is the sum of all the numbers in the grid ?

Answer 3

a)32798
b)65596
c)52900
d) none of these

Answer 4

Well I will do my best to help.
This seems like a monster problem.
Do you first know the common difference in row 5? in tow 15? in column 7? in column 17?

Answer 5

ya i can be found out,m stuck at after finding common differnces of the 5th and 7th row

Answer 6

you are stuck after finding the 5th and 15th row common differences?
does that mean you aren't stuck during finding them?
like you know the common difference?

Answer 7

d=8/5 for 5th row

Answer 8

great that is what i got

Answer 9

and for the 15th row you got 12/5 ?

Answer 10

yes

Answer 11

well now we should be able to get the common difference for each arithmetic sequences that occurs in the columns
We can find the common difference of each of the column sequences then we can find the sum of each column
then add up all of those sums which is what is required

Answer 12

I don't know of a shorter way

Answer 13

That is 23 sequences

There has to be a shorter way

Answer 14

have u forgotton the area of rectangle?

Answer 15

nope

Answer 16

thats the way i think

Answer 17

I kinda want to play with a smaller rectangular field to see if we can observe any patterns
before find the sum of 23 difference sequences

Answer 18

I'm going to play around with my own sequences in my own rectangle
one sec
if i see anything cool i will show you

Answer 19

thanks for ur brave effort

Answer 20

So @mathamth333
How would you use the thing about knowing the area of rectangle here
All of these columns are arithmetic sequences
and so are the rows

and yes I know we can go ahead and add them all
but again we are looking for a shorter way with 23 by 23 one you have