4 equations in 1

Logic Level 3

In each of the yellow circles, it is possible to place one of the 4 arithmetic operations + , − , × , ÷ + , - , \times, \div , such that the 3 empty squares can be filled with positive integers that satisfy the 4 equations.

What value must go into the blue square?

4 Cannot be determined 2 This setup cannot be achieved 3 1

Chung Kevin by Chung Kevin , 45, Australia

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1 solution

Ahmad Saad
Feb 28, 2017

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Nicely done! Can you explain the reasoning that led you to this setup?

There are actually multiple solution sets, but they all give us a value of 1 in the blue square.

Chung Kevin - 4 years, 3 months ago

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I don't have any formula. Only trial and error.

Ahmad Saad - 4 years, 3 months ago

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That works too. Letting people know that you answered this by trial and error would help them understand how you solved it.

I can add a systematic approach to solving this problem, though there is still some trial and error involved because there are multiple cases.

Chung Kevin - 4 years, 3 months ago

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