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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

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Crisscross - solution

##### Share on other sites 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

##### Share on other sites I guess I'm missing something. How do I know which square is D.1, A.1, etc?

##### Share on other sites 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.

##### Share on other sites Someone please tell me what is wrong here! D.2 should consist of 3 numbers, not 2!

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

##### Share on other sites Someone please tell me what is wrong here! D.2 should consist of 3 numbers, not 2!

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

##### Share on other sites That was a fun one of which I joyfully solved. Thanks for making my day a bit better.

##### Share on other sites The best way to do this is to set everything equal to D6 we'll call this X.

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

##### Share on other sites 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