Look at the pattern of magic sums: 1 + 2 + 3 + ... + 9 = 45 In a 3 x 3 grid using digits 1 to 9 once each, every row, column and diagonal adds to the same number. What must that common sum be?

Question

Accepted Answer

15. The total of 1 to 9 is 45, spread over 3 rows that all share the same sum, so each row = 45/3 = 15.

Look at the pattern of magic sums:
1 + 2 + 3 + ... + 9 = 45
In a $3 \times 3$ grid using digits 1 to 9 once each, every row, column and diagonal adds to the same number.
What must that common sum be?

Step-by-Step Solution

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More Class 6 Patterns in Whole Numbers practice

Look at the pattern of magic sums:1 + 2 + 3 + ... + 9 = 45In a 3×3 grid using digits 1 to 9 once each, every row, column and diagonal adds to the same number.What must that common sum be?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 6 Patterns in Whole Numbers practice

Look at the pattern of magic sums:
1 + 2 + 3 + ... + 9 = 45
In a $3 \times 3$ grid using digits 1 to 9 once each, every row, column and diagonal adds to the same number.
What must that common sum be?