Game of 9

Logic Level 1

9 9 9 9 9 = 87 \huge 9 ~ \square ~ 9 ~ \square ~ 9 ~ \square ~ 9 ~ \square ~ 9 ~ = 87

Fill the four square with any of the operators + , , × , ÷ +,-,\times, \div . Use one operator exactly once.

Can we make the equation true?

No Yes

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1 solution

Chaima Ouadi
May 30, 2020

In the logic of operators, adding is the opposite of substracting, so: n + n - n = n

Also, muliplication is the opposite of division, so: n × n ÷ n = n

Which means that n + n - n × n ÷ n = n

P.S: In this case, the result will always be the same no matter what the order of the operators is

And when we apply the rule of using each operator only once in the equation above, we get:

9 + 9 - 9 × 9 ÷ 9 (as we said, order changes nothing only in this case)

the result will be 9

So the equation above cannot be true

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