Hi, IMO A.
I approached this question by drawing a number line and position each point in order to determine whether the scenario given in the question stem help me to determine the relative position of C to the positions of A & B.
I started with stmt 1.
Since the distance between A & C is 5 and the distance between B & C is 20. We know that C is closer to A than it is to B.
I started with A in the middle and B to A's right & C to A's left. I quickly realized that this position of C will not meet the criteria that the difference b/w B & C is 20 given the distance b/w A & B is 25.
If C-----A (5, the distance between C & A as given)-----A---------B (25)
then C--------B can't equal to 20
Therefor C-A-B out
Then I tried B in the middle and A to its left and C to its right:
A---------(25) B---------C (20) here you can see that there is no way that the distance betweem A & C is 5
Therefore the only option is to put C in the middle:
A-----(5) C-------(20) B and this agrees with stmt 1 that distance b/w A & B is 25
Stmt 2 it only gives the position of A in relations to B however, it does not give us any other information.
Furthermore, since we are always required to have 3 distint linear equation to solve for the values of 3 distint unknown variables, I believe another unique equation is necessary to determine the placement of C.
Therefore, I choose A.
I don't know if this is the most time efficient way but this is how I obtained my answer.
I hope this helps you.
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