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Linear Cubes (Posted on 2003-12-19) Difficulty: 4 of 5
In the following table, each row of P, Q, and R are a set of numbers for which
P³ + Q³ + R³ = P_Q_R
where P_Q_R is composed of the digits of P, Q, and R put together.
For example, 4³ + 18³ + 33³ = 41833.

In this puzzle, however, P, Q, and R are each two digit numbers.
Also, there are no zeroes in any of the variables.

     P        Q        R    
     a        k        j
    a/2      c/4       n
     b        c    2(h+j/4)/a
    j/4      2g/7     3a/4
     2m       f       e/31
     2m      j/2      d/37

The grid below contains all the variables in the table, where a1 is the first digit of a, a2 is the second digit of a, etc, and where a1 and b1 (being in the same box of the grid) are the same digit.

 ___________________
| a1 | a2 | c1 | c2 |
| b1 |    | d1 | f1 |
|----|----|----|----|
| e1 | e2 | e3 |    |
| b2 | h1 | d2 | f2 |
|----|----|----|----|
|    | g1 | g2 | g3 |
| k1 | h2 | d3 | n1 |
|----|----|----|----|
| j1 | j2 | m1 | m2 |
| k2 | h3 |    | n2 |
 ŻŻŻŻŻŻŻŻŻŻŻŻŻŻŻŻŻŻŻ
Complete the grid from the given information.

See The Solution Submitted by DJ    
Rating: 4.2000 (5 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: SOLUTIONSilverKnight2003-12-19 11:14:32
SolutionSOLUTIONrerun1412003-12-19 11:05:16
Some Thoughtsthe possible combosrerun1412003-12-19 10:47:38
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