Data Sufficiency

In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem.
Remember equal number of variables and equations ensures a solution.


In original condition, we have 3 variables (x,y,z) and 1 equation (range=8), then we need 2 more equations to solve the problem. So, the answer is C.


Why C? If you know our logic, you don't need to solve the problem but let me prove for you.


In 1) and 2), x+y+z+8=12.5*4=50. If median and mean are the same, x=y-4, z=y+4 (x<y<z). x+y+z=42 so mean=y=14. Minimum value is 14-4=10. So, 10,14,18


If you know our own innovative logics to find the answer, you don't need to actually solve the problem.


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