Prepare a grid with magic number 30. you can choose any set of number in sequence but the number should not be repeated.
Answers
Answer:
4 14 12
18 10 2
8 6 16
Step-by-step explanation:
It is very easy task.You already have the grid with magic number 15 which is following
2 7 6
9 5 1
4 3 8
Now just multiply all the rows with 2 to get the desire magic box with magic number 30
4 14 12
18 10 2
8 6 16
Now you can see that
from every side sum is equal to 30
For example
4 + 14 + 12 = 30 From left to right
4 + 18 + 8 = 30 From up to down
4 + 10 + 16 = 30 In the Main diagonal
You can check for all other sides
Thus
4 14 12
18 10 2
8 6 16
It is the desire magic box the magic number 30
Answer:
4 14 12
18 10 2
8 6 16
Step-by-step explanation:
Given:- Magic grid with number 15 which is
2 7 6
9 5 1
4 3 8
To Find:- A grid with magic number 30 such that sum of the rows, sum of the columns and sum of the diagonal elements is 30.
Solution:-
Grid with magic number 15 is given.
To obtain the grid with magic number 30, all we need to do is multiply the grid of 15 with 2.
2 7 6 4 14 12
9 5 1 × 2 = 18 10 2
4 3 8 8 6 16
To evaluate our result, let's check if sum of rows, sum of columns and sum of diagonals = 30.
ROW 1 :- 4 + 14 + 12 = 30
ROW 2 :- 18 + 10 + 2 = 30
ROW 3 :- 8 + 6 + 16 = 30
COLUMN 1 :- 4 + 18 + 8 = 30
COLUMN 2 :- 14 + 10 + 6 = 30
COLUMN 3 :- 12 + 2 + 16 = 30
DIAGONAL 1 :- 4 + 10 + 16 = 30
DIAGONAL 2 :- 8 + 10 + 12 = 30.
Therefore, grid with magic number 30 is:- 4 14 12
18 10 2
8 6 16
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