Let’s check if this magic square really works — meaning, do all the rows, columns, and diagonals add up to 170?
We’ll go step by step.
First, let’s check each row:
Row 1: 5 + 70 + 75 + 20
= (5 + 70) = 75 → 75 + 75 = 150 → 150 + 20 =
170 ✔
Row 2: 60 + 35 + 30 + 45
= (60 + 35) = 95 → 95 + 30 = 125 → 125 + 45 =
170 ✔
Row 3: 40 + 55 + 50 + 25
= (40 + 55) = 95 → 95 + 50 = 145 → 145 + 25 =
170 ✔
Row 4: 65 + 10 + 15 + 80
= (65 + 10) = 75 → 75 + 15 = 90 → 90 + 80 =
170 ✔
Now check the columns:
Column 1: 5 + 60 + 40 + 65
= (5 + 60) = 65 → 65 + 40 = 105 → 105 + 65 =
170 ✔
Column 2: 70 + 35 + 55 + 10
= (70 + 35) = 105 → 105 + 55 = 160 → 160 + 10 =
170 ✔
Column 3: 75 + 30 + 50 + 15
= (75 + 30) = 105 → 105 + 50 = 155 → 155 + 15 =
170 ✔
Column 4: 20 + 45 + 25 + 80
= (20 + 45) = 65 → 65 + 25 = 90 → 90 + 80 =
170 ✔
Now check the two main diagonals:
Diagonal from top-left to bottom-right: 5 + 35 + 50 + 80
= (5 + 35) = 40 → 40 + 50 = 90 → 90 + 80 =
170 ✔
Diagonal from top-right to bottom-left: 20 + 30 + 55 + 65
= (20 + 30) = 50 → 50 + 55 = 105 → 105 + 65 =
170 ✔
Everything adds up to 170! So yes, this is a correct magic square.
Final Answer:
Yes, it is a valid magic square because every row, column, and diagonal sums to 170.
Parent Tip: Review the logic above to help your child master the concept of magic square.
