8
$\begingroup$

How can I make this equation true by moving two matches?

It's in a game "Smart Puzzles" - it's called Matches, and there are about 13 different games in it.


Additional images - my attempts

$\endgroup$
10
  • 1
    $\begingroup$ Move two matches to do what? To make the equation true? $\endgroup$ Commented Sep 15, 2019 at 16:35
  • $\begingroup$ Just to be clear - can matches be rotated or can they only be lifted and placed? $\endgroup$
    – Adam
    Commented Sep 15, 2019 at 16:45
  • $\begingroup$ Yes the rotate when you put them where you want them $\endgroup$
    – Ryan Bush
    Commented Sep 15, 2019 at 17:09
  • $\begingroup$ I can't make it a times but I can make it a subtraction $\endgroup$
    – Ryan Bush
    Commented Sep 15, 2019 at 17:10
  • 1
    $\begingroup$ Just a quick note that you should generally only post a puzzle that is of your creation. $\endgroup$ Commented Sep 16, 2019 at 19:53

7 Answers 7

23
$\begingroup$

Change the six to a nine, and the seven and one change places by moving the top match along : $9+8=17$.

Or:

Make the eight into a nine, and put the match into the six to make an eight. Same trick with $17$ to get $8+9=17$.

$\endgroup$
1
  • 1
    $\begingroup$ Alternatively, move the top two sticks of the seven and flip upside down $\endgroup$ Commented Sep 15, 2019 at 19:19
5
$\begingroup$

Well you could easily

Remove the horizontal match from the $+$ then place it between $7$ and $1$. Now replace the horizontal match with the one in the middle of the $8$ to get $6+0=7-1$.

EDIT: If removing the bottom match in the $+$ isn't considered "one move" then you can just as easily move the top one and rotate the two moved matches to satisfy $6+0=7-1$

If there is some leniency for spacing you could also

Move the vertical $+$ match and horizontal $7$ match to make $6-8=-1-1$

$\endgroup$
2
  • $\begingroup$ Massive nit pick, but the horizontal match in the plus is underneath, so technically this would involve moving three matches! $\endgroup$
    – JMP
    Commented Sep 15, 2019 at 17:31
  • $\begingroup$ @JMP clarification from OP - "Yes the rotate when you put them where you want them" so I could remove the top one instead and still replace it from the $8$ $\endgroup$
    – Adam
    Commented Sep 15, 2019 at 17:32
2
$\begingroup$

Cheating, I know, but:

$$6 - 8 \ne 17$$

or

$$6 - 8 \ne 71$$

if you're lazy and only want to move one match.

$\endgroup$
2
  • $\begingroup$ I think there's generally an unspoken rule in these kind of puzzles that you can't mess with the equals sign... $\endgroup$ Commented Sep 16, 2019 at 18:57
  • $\begingroup$ Hence "Cheating" @DarrelHoffman. *8') $\endgroup$
    – Mark Booth
    Commented Sep 17, 2019 at 12:16
0
$\begingroup$

Not sure if this counts :)

Move one match diagonally across the equals to make it not equals, then move any other match so that the equation is still not equal.

$\endgroup$
0
$\begingroup$

Another solution:

Move the top horizontal match of the 6 and the top horizontal match of the 7 to the 1 to make the latter into a 4.

$\endgroup$
0
$\begingroup$

$6 + 2 = 7 + 1$ (two matches from $8$ to make a plus between $7$ and $1$)

$\endgroup$
0
$\begingroup$

The 6 become 9 (move bottom left to top right) and then remove the top match from the seven and put it on top of the 1. So the equation become 9+8 = 17

$\endgroup$
0

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.