<p>Okay, I know this has been beaten to death already, but just hear me out.</p>
<p>90+90+x+x+y
median: 85
mean: 83
Find the lowest possible value of x.</p>
<p>We all seem to agree that one variable must be 85.</p>
<p>One of the two numbers must be 85, we all seem to agree on that.</p>
<p>If we say the single number is 85, we have a set of 90,90,x,x,85</p>
<p>(90+90+x+x+85)/5 = 83
(265+2x)/5 = 83
265+2x = 415
2x = 150
x = 75</p>
<p>Let's say that the double number is 85, giving a set of 90,90,85,85,y</p>
<p>(90+90+85+85+y)/5 = 83
(350+y)/5 = 83
350+y = 415
y=65</p>
<p>The reason there was a controversy is because of the variable names... It took me a while to realize it as well. 65 may be smaller than 75... but your x isn't 65. Your x is 85.</p>