<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>