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ANSWER:  

The points scored by magi is 96 and points scored by lucy is 82.

SOLUTION:

Given, on a quiz magi scored 14 more points than lucy.

The total of their points was 178.  

We need to find how many points did they each get.

Let the points scored by magi be x and the points scored by lucy be y.

Then according to given information,

x = 14 + y (1)

x + y = 178 (2)

Now, substitute (1) in (2)

(14 + y) + y = 178

14 + 2y = 178

2y = 178 – 14

2y = 164

y = 82

Now substitute y value in (1)

x = 14 + 82 = 96

Hence, the points scored by magi is 96 and points scored by lucy is 82.