When completed, the cross-number below will have one digit (from 0-9) in each cell, and no zeros in row (a) and in column (a).

         (a) (b) (c) 
            +---+---+
    (a)     |   |   |
        +---+---+---+
    (b) |   |   |   |
        +---+---+---+
    (c) |   |   |    
        +---+---+

ACROSS : (a) Abigail´s age.
         (b) Sum of Abigail´s age,
                    Blanche´s age,
                    Cynthia´s age, and
                    Darlene´s age.
         (c) Blanche´s age.

DOWN   : (a) Darlene´s age
         (b) Sum of three of the ages in (b) across.
         (c) Cynthia´s age.

Whose age was omitted from (b) down, and what are the ages of the 4 women ?

Note: this can be solved by hand. Those who will use the computer, give the others some time before posting the solution obtained this way. Tk you.

(In reply to re(3): Re: Solution by hand by pcbouhid)

I'm new to this list, so I can't tell if you're serious or not, but it goes something like this:

A's age = 10 a1 + a2    same for other ages; m is middle number

omitted age = 100 (d1-a1) + c2 - b2        d1 not = a1

therefore d1 - a1 = 1        then [omitted age] c1 or b1 must be 9

try c1 = 9 and d1 = 2 and a1 = 1

this leads to 11 b1 + b2 = 71 + 10 m

only combo that works is 6, 5 and 0

 

 

 

Posted by Mike on 2005-10-21 14:53:09