median of the numbers in set S equal to the median of the numbers in set T?
(1) The median of the numbers in set S is 0.
(2) The sum of the numbers in set S is equal to the sum of the numbers in set T.
Statement 1 is clearly insufficient. However my approach for statement 2 is as below:
If S={n,n+1,n+2,n+3,n+4} and T=(x,x+1,x+2,x+3,x+4,x+5,x+6}
then essentially, the question is whether n+2=x+3
Now, 5n+10=7x+21
this implies, x=(5n-11)/7
Therefore x+3 becomes (5n-11)/7+ (3)=5/7(n+2) which is clearly less than n+2.
What's wrong with my approach here? OA is
C.