Is Swaggering Sam Smart?

Posted July 14 - 20, 1997

This is how Swaggering Sam deciphered Ophelia's phone number:A = 7, B = 9, C = 5

Either A or B equals 9.

Either A or B equals 7.

Either B or C equals 9.

Either B or C equals 5.

Since B is shared by both, B = 9.

Thus A = 7 and C = 5.

5 + D = 2D + E

5 = D + E So (D,E) equals one of the following pairs:

(1,4), (4,1) It cannot be (5,0), since E must be a non-negative number.

It cannot be (2,3), since if D = 2 and E = 3, then F = 6 and there is no solution for G.

It cannot be (0,5) since then F would equal 10.

It cannot be (3,2), since if D = 3 and E = 2, then F = 4, and there is no solution for G.

It could be (1,4), since if D = 1 and E = 4, then F = 8, and G = 3.

Then the telephone number would be 795-1483.It could be (4,1), since if D = 4 and E = 1, then F = 2 and G = 1.

The telephone number then would be 795-4121.Swaggering Sam dialed both numbers to arrange a date, but unfortunately she was already busy seeing some brainy dude named Minus?!!

It looks like Minus stumped a lot of you this week. There were plenty of would-be chefs, but only two got the recipe right. Candice provided a good entree, while Julia added a little side-dish to the meal.

Presenting this week's premiere chef...Candice [candices@town.nd.edu.au]! Why don't you take a bow for creating this lovely dish.

You are given the clues:A*B=63 7*9=63 B*C=45 9*5=45 C+D=2D+E 5+D=2D+E 2E=F 2E=F F=3G-1 F=3G-1After trial and error I found that there are two possible solutions for Ophelia's phone number: If all the digits are to be different: 795-1483.If it the digits aren't all different: 795-4121.

I checked them both:

(1) (2) 7*9=63 7*9=63 9*5=45 9*5=45 5+1=(2*1)+4 5+4=(2*4)+1 2*4=8 2*1=2 8=(3*3)-1 2=(3*1)-1

We don't know much about Julia Kahn [rkahn@emory.edu] except that she is one smart cookie. Hmmm... you weren't peeking over Candice's shoulder were you?

Ophelia's phone number is either: 795-1483 or 795-4121

who submitted a solution.

Just remember Minus' last words...

you won't know how it tastes

unless you bite into it.