Let the number of red skittles be = x
Let the number of orange skittles be = y
Red skittles are 10 less than orange, this gives
x = y-10................(i)
Orange Skittles are twice the number of red skittles, this gives
y = 2x.............(ii)
Incorporating the value of y from second equation into first
x = 2x - 10
hence, x = 10
Now putting the value of x in equation second
y = 2x
y = 2*10
y = 20
Hence, the number of red skittles are 10 and the number of orange skittles are 20.