1. This matchstick image of an equation (6 – 4 = 3) is incorrect. Can you correct the equation by moving just one matchstick? All matchsticks must be used.

### Solution

2. This matchstick image of an equation (5 + 7 = 2) is incorrect. Can you correct the equation by moving just one matchstick? All matchsticks must be used.

### Solution

3. This matchstick image of a Roman numeral equation (6 + 2 = 5) is incorrect. Can you correct the equation by moving one matchstick?

### Solution

## Feedback

There are more than one way of doing these puzzles and may well be more than one answer. Please let me and others know what alternatives you find by commenting below. We also welcome general comments on the subject and any feedback you’d like to give. If you have a question that need a response from me or you would like to contact me privately, please use the contact form.

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VI+II=V

That can also be corrected by 7-2=5

VII-II=V

We removed the other stick from the plus sign and moved it beside VI

Noel, thank you for drawing this to my attention. You are 100% correct and have identified a second solution to the puzzle. Your correction will be included in my next website update. Thank you again and I hope you are enjoing the challenge of my puzzles.

Could the 5 + 7 = 2 also be 5 – 7 = -2

Jodie, thank you for drawing this to my attention. You are 100% correct and have identified a second solution to the puzzle. Your correction will be included in my next website update. Thank you again and I hope you are enjoying the challenge of my puzzles.

For the second problem (5+7=2), an alternative solution is to take a matchstick from the plus sign, and make 2 negative. (5-7=-2)

5+7=2, remove one matchstick from plus sign then add it to 5 it automatically become 9, then 9-7=2

matchsticks

That -2 one was my only guess, couldn’t think of any others

But technically you will need to move the sticks to make space for the negative sign…

I also noticed the same possibility as Jodie.

Just saw this puzzle on a short. This also works:

5-7≠2

7+3=5

Remove the top match from seven and move it to cross the equal sign. 5+1does not equal 2

Thank you for pointing out your solution. You are absolutely correct in a negative sort of way but it was not on my correct solution list.

I prefer that the solutions make the algebra true. Thanks again for keeping me on my toes and hope that you are enjoying the challenge of my puzzles.

5+7>2 is also valid

In 5+7=2 move the top of 7 to 2 so it becomes 5+1=6

Doesn’t work. You’d need to move another matchstick on the 2

5 + 1≠ 2 or 5 – 7 ≠ 2

5+1=6 or 5-7=0

Hi Gorden can you solve 2+5=5

thanks

for 5+7=2, could it be 5+7=12, by taking out one stick from 7 as 7 can still be 7 somehow?

Why is moving the vertical matchstick in puzzle 2 to turn 7 into 9 correct? It is under the horizontal matchstick in the “+” sign, so wouldn’t you have to move both to make that change?

Jenn, in the puzzle 5+7=2 the vertical matchstick in the + sign is moved to make the 5 into a 9…..so 9-7=2. The 7 does not change.

Can you solve this ? 2 + 1 = 6

Can you solve this ? 2 + 1 = 6 .

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