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No one stands in front of the first person, so the number of taller people in front is always 0.
Saying 6 means all six children standing in front are taller than the last child.
Three even numbers add to an even number, and even + odd = odd.
The sum of an odd number of odd numbers is always odd.
A product is odd only when both factors are odd.
Both 2n and 8 are even, so their sum is always even.
The nth even number is 2n. Therefore, the 75th even number is 2 × 75 = 150.
The nth odd number is 2n − 1. Hence, 2 × 60 − 1 = 119.
Adding 10 to every number increases each row sum by 30. Original magic sum = 15, so new magic sum = 45.
The magic sum of a 3 × 3 magic square is three times the centre number. Thus, 3 × 18 = 54.
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