Make this expression true: 2 _ _ _ _= 2015
The underscores must be replaced by any 2 of of the operational symbols +, - , x, / (divide). And any 2 of the digits 0,1,2..9.
So, you basically need 2 operational symbols and 2 digits (digits and operational symbols can be repeated).
I have been stuck on this math puzzle for almost a week now and have tried numerous arrangements of the symbols and digits but have been unsuccessful in finding a solution. I am now beginning to believe that there is actually no solution. How would I go about proving this?
Thank you :)
We know that two operational symbols have to exist in the red places : $$2\color{red}{\circ}\circ\color{red}{\circ}\circ=2015.$$ Then, we have $$\text{LHS}\le 2\times 9\times 9=162\lt 2015.$$