Current location - Training Enrollment Network - Mathematics courses - 1. In the above math game, can the sum of the five numbers in the cross box be equal to 20 15? Can it be the same as in 2005?
1. In the above math game, can the sum of the five numbers in the cross box be equal to 20 15? Can it be the same as in 2005?
The sum of these five numbers is equal to five times the middle number.

If the sum is equal to 20 15, the median is 403.

If the sum is equal to 2005, the median is 40 1.

But these two numbers can't be at the end.

The leftmost number is a multiple of 18+1

The rightmost number is a multiple of 18-1

Test: 403 = 18*22+7 is ok; 40 1 = 18*22+5 is.

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