Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
Math Help?
In the magic square below, 5 more numbers can be placed so that the sum of the three numbers in any row, column, or diagonal will be the same. What value should X have?
15 A 35
50 B C
25 X D
2 Answers
- PuzzlingLv 75 months agoFavorite Answer
If you look at the first column, you have a sum of 90, so all the others must have the same sum of 90.
Now look at the first row:
15 + A + 35 = 90
A + 50 = 90
A = 40
Then look at the diagonal going up to the right:
25 + B + 35 = 90
B + 60 = 90
B = 30
Finally look at the middle column:
A + B + X = 90
40 + 30 + X = 90
X + 70 = 90
X = 20
Answer:
X = 20 <--
P.S. You could figure out C and D easily but it isn't necessary to find the value of X. If you did, the final square would be:
15 40 35
50 30 10
25 20 45
If you divide each number by 5 and subtract 1, you get a more typical magic square using the digits 1 to 9:
2 7 6
9 5 1
4 3 8
- RRLv 65 months ago
15 + 50 + 25 = 90
15 + 35 = 50, so A = 40
25 + 35 = 60, so B = 30
40 + 30 = 70, so X = 20
check
25 + 20 = 45, so D = 45
50 + 30 = 80, so C = 10
35 + 10 + 45 = 90
15 + 30 + 45 = 90
Ans X = 20