Question 1032024
Let's call her scores on the tests, x, y and z.
Then we write
x + y + z = 258
We also have
x + y = z + 80
and
z = y + 13
We can plug in the second into the first equation and get
z + 80 + z = 258
2z + 80 = 258
2z = 178
z = 89
so that
y = 76
and now
x + 76 + 89 = 258
we can find that
x = 258 - 76 - 89 = 93
Her scores were then
93, 76 and 89.