All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
Diagram Dilemma (Posted on 2014-06-19) Difficulty: 2 of 5
(A)
+----+----+----+----+----+
| 19 |    | 22 |  6 |    | 
+----+----+----+----+----+
| 9  |    | 23 | 20 | 7  |  Total = 80
+----+----+----+----+----+
| 20 |    | 16 |    |    | 
+----+----+----+----+----+
|    |    | 9  |    | 27 | 
+----+----+----+----+----+
|    | 14 | 10 | 32 | 13 | 
+----+----+----+----+----+

(B)
+----+----+----+----+----+
|    | 13 | 21 | 3  |    | 
+----+----+----+----+----+
| 14 |    | 20 |    |  4 |  Total = 75
+----+----+----+----+----+
| 20 | 23 | 15 |  7 | 10 | 
+----+----+----+----+----+
|    | 12 | 10 |    | 31 | 
+----+----+----+----+----+
|    |  8 |  9 | 36 |    | 
+----+----+----+----+----+
Each row, column and five-figure diagonal line totals 80 in diagram A and totals 75 in diagram B.

Three different positive integers must be used to fill up the blank cells, as many times as necessary, to achieve this for each of (A) and (B).

Find the missing numbers for each of (A) and (B).

*** Three distinct numbers in (A) and (B) may differ.

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionsolutionCharlie2014-06-19 15:26:15
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information