The slope of these points is 4/3
Choosing 4 men from seven can be done in 7C4 = 35 ways
(There are 7 to choose from then 6 and 5 and 4 = 7 x 6 x 5 x 4
but we don’t want them in order so we need to divide by 4! = 4 x 3 x 2 x 1)
Similarly choosing 4 women from 11 can be done in 11C4 = 330 ways.
Total number of ways to choose 4 men and 4 women = 35 x 330 = 11550
X+y = 42
x-y = 8
x = 8+y
Substitute it in 1st equation,
8+y+y=42
2y = 34
y = 17
Substitute it in 1st eq.,
x = 42-17 = 25
So, the two numbers are 25 & 17
Hope this helps!
