Zhang Hong scored 60 points more than Li Chao. Zhang Hong and Li Chao each answered several questions correctly.
Li Chao's score: (100-60)÷2=20.
Zhang Hong's score is: 100-20=80.
Set one of them as topic X.
20x-30y=80
20x-30z=20
30(z-y)=60
z-y=2
40x-30(y+z)= 100
4x-3(y+z)= 10
Divide both sides by two.
2x-3(y+z)/2=5
( 1) y+z=6
2x-9=5
x=8
z=4
Y=2 (uncorrelated)
(2)y+z= 10
2x- 15=5
x= 10
z=6
y=4
Zhang Hong got six questions right.
Li Chao got four questions right.