Write number like this: As in the calendar; mark four numbers in a square and find the difference of diagonal products. Is it the same for all squares of four numbers?

Question

Philoid · Accepted Answer

Let us consider this green square.

Diagonal products are:

2×8 = 16

7×3 = 21

Difference = 21-16 = 5

Now let us consider this green square.

Diagonal products: 9× 15 = 135

14× 10 = 140

Difference = 140 – 135 = 5

Now consider this green square.

Diagonal products: 11× 17 = 187

16× 12 = 192

Difference = 192 – 187 = 5

So, we observe that in all the above cases the difference of diagonal products is coming out to be same and is equal to 5.

Write number like this:As in the calendar; mark four numbers in a square and find the difference of diagonal products. Is it the same for all squares of four numbers?

Write number like this:

As in the calendar; mark four numbers in a square and find the difference of diagonal products. Is it the same for all squares of four numbers?