Hi All,
When an "average formula" question gives you all of the numbers that you need to solve for 1 variable, there are usually several ways that you can organize your information. When you were younger, you were probably taught to do straight-forward arithmetic. That's not the only way to get to the answer here....
Given the values 98, 107, 85, 89, 91 and X along with "goal" to get the average ABOVE 100 with the minimum possible value of X, we can figure out "how far away" each value is from 100...
The numbers BELOW 100:
98 is 2 below
85 is 15 below
89 is 11 below
91 is 9 below
Total for these 4 numbers = 37 below
Since we have just 1 number ABOVE 100 (the 107), we have a "net effect" of...
37 below + 7 above = 30 below.
This means that IF the value of X was 100+30 = 130, then the OVERALL average would be 100. We're asked to make the average ABOVE 100, so X MUST be greater than 130, but still be as small as possible. Even though the question did not state it, we're meant to assume that all values are integers, so X would be 131 (at the minimum).
Final Answer:
GMAT assassins aren't born, they're made,
Rich