8 replies to this topic

[rookie1ja]

Crisscross - Back to the Picture & Rebus Puzzles
This is a number crossword puzzle. Enter one numeral character into each square. The clue consists of mathematical operations (e. g. "D.6 x 3" means, that the number you are looking for is three times bigger than number D.6).
Across:
A.1 = D.6 x 3
A.4 = A.7 x A.7
A.5 = (D.3 x 7) - 1
A.6 = A.1 + A.5
A.7 = D.3

Down:
D.1 = ?
D.2 = A.7 x 6
D.3 = D.6 + 6
D.4 = A.4 - 210
D.6 = (D.2 + 9) x 1/7



This old topic is locked since it was answered many times. You can check solution in the Spoiler below.
Pls visit New Puzzles section to see always fresh brain teasers.

Spoiler for Solution

Crisscross - solution

[infomaniac.nick]

That's a great little puzzle!

You should think about writing off to a puzzle magazine and submitting it
You could be onto a nice little earner there

[mathdawg]

I guess I'm missing something. How do I know which square is D.1, A.1, etc?

[IDoNotExist]

I guess I'm missing something. How do I know which square is D.1, A.1, etc?

Read it like a cross word. D stands for Down and A stands for across. So D.1 starts with the block with a one in it and goes down.

[MaybeMyNameIsStine]

Someone please tell me what is wrong here! D.2 should consist of 3 numbers, not 2!

Spoiler for Probably wrong calculations

D.2 = A.7 x 6
A.7 = D.3
D.3 = D.6 + 6
D.6 = (D.2 + 9) / 7

X = Y x 6
Y = Z + 6
Z = (X + 9) / 7

Y - 6 = (X + 9) / 7
X / 6 - 6 = (X + 9) / 7
X x 7 - 6 = (X + 9) x 6
7X = 6X + 54 - 6
7X = 6X + 48
X = 48

[elegir]

Someone please tell me what is wrong here! D.2 should consist of 3 numbers, not 2!

Spoiler for ...wrong calculations

D.2 = A.7 x 6
A.7 = D.3
D.3 = D.6 + 6
D.6 = (D.2 + 9) / 7

X = Y x 6
Y = Z + 6
Z = (X + 9) / 7

Y - 6 = (X + 9) / 7
X / 6 - 6 = (X + 9) / 7
X x 7 - 6x6x7 = (X + 9) x 6
7X = 6X + 54 - 6 + 252
7X = 6X + 48 306
X = 48306

[Q-Cumber]

That was a fun one of which I joyfully solved. Thanks for making my day a bit better.

[harpuzzler]

The best way to do this is to set everything equal to D6 we'll call this X.

Spoiler for Calculations

A.1 is easy this is just 3X; A.4 is equal to (A.7)^2 and A.7 is equal to D.3 which is equal to X+6, so A.4 is equal to (X+6)^2 or X^2+ 12X+36. Everything can be set as a variation of X except D.1 which fills itself in

Edited by harpuzzler, 31 May 2011 - 01:25 AM.

[Dej Mar]

Spoiler for

Let x = D6
x = (D2 + 9)/7
= ((A7 * 6) + 9)/7 <-- substitute (A7 * 6) for D2
= ((D3 * 6) + 9)/7 <-- substitute D3 for A7
= (((x + 6) * 6) + 9)/7 <-- substitute x + 6 {i.e., D6 + 6} for D3
= ((6x + 36) + 9)/7
= (6x + 45)/7
(7/7)x = (6x + 45)/7
7x = 6x + 45
x = 45

A1 = D6 *3 = (45)*3 = 135
D3 = D6 + 6 = (45) + 6 = 51
A7 = D3 = 51
A4 = A7 * A7 = (51)*(51) = 2601
A5 = (D3 * 7) - 1 = (51 * 7) - 1 = 356
A6 = A1 + A5 = (135) + (356) = 491
D2 = A7 * 6 = (51) * 6 = 306
D4 = A4 - 210 = (2601) - 210 = 2391
D6 = (D2 + 9) * 1/7 = ((306) + 9) * 1/7 = 315/7 = 45

__135
_2601
_356_
491__
51___

D1 = 1651