Using a different digit from 1 to 9 to express 11

 
 
Assign a different digit from 1 to 9 to each letter in the expression

(A-B)^c \; + \; (C-D)^E \; + (F-G)^I \; = \; 11

 
 
Here’s one way:

(6-9)^2 \; + \; (2-1)^7 \; + \; (5-4)^3 \; = \; 11

 
 

Find other ways

 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

One Response to Using a different digit from 1 to 9 to express 11

  1. paul says:

    Here are 10 of the possible 3129 ways to make 11

    (1 – 4)^2 + (3 – 6)^8 + (7 – 5)^9 = 11
    (1 – 4)^2 + (3 – 6)^8 + (7 – 9)^5 = 11
    (1 – 4)^2 + (3 – 6)^9 + (8 – 5)^7 = 11
    (1 – 4)^2 + (3 – 6)^9 + (8 – 7)^5 = 11
    (1 – 4)^2 + (3 – 8)^6 + (5 – 7)^9 = 11
    (1 – 4)^2 + (3 – 8)^6 + (5 – 9)^7 = 11
    (1 – 4)^2 + (3 – 8)^7 + (6 – 5)^9 = 11
    (1 – 4)^2 + (3 – 8)^7 + (6 – 9)^5 = 11
    (2 – 3)^5 + (9 – 1)^6 + (8 – 7)^4 = 11
    (2 – 3)^5 + (9 – 1)^8 + (6 – 7)^4 = 11

    Paul.

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