Jason can drive from his home. . . .

[VJesus12]

Jason can drive from his home to his mother's house by one of two possible routes. If he must also return by one of these routes, what is the distance of the shorter route?

(1) When he drives from his home to his mother's house by the shorter route and returns by the longer route, he drives a total of 52 kilometers.
(2) When he drives both ways, from his home to his mother's house and back, by the longer route, he drives a total of 60 kilometers.

The OA is C.

I know why each statement alone is not sufficient. But I don't know how can use both statements together. I need some help here.

[sakali]

Let x be the distance of the shorter route
Let y be the distance of the longer route

S1 tells us that x + y = 52;
We don't know what x is; INSUFFICIENT

S2 tells us that 2y = 60 --> y = 30
We don't know what x is; INSUFFICIENT

S1 + S2 tells us that
x + 30 = 52

We don't need to calculate the number, this is sufficient. Therefore, C