Answer:
larger number = 16
smaller number = 12
Step-by-step explanation:
let the larger number = x
let the smaller number = y
Difference between the two numbers is 4:
x - y = 4
The larger number is 8 less than twice the smaller number
x = 2y - 8
Rewrite x - y = 4 to make x the subject:
x = 4 + y
Substitute x = 4 + y into x = 2y - 8 and solve for y:
4 + y = 2y - 8
4 + 8 = 2y - y
12 = y
Now substitute the found value for y into x - y = 4 and solve for x:
x - 12 = 4
x = 4 + 12 = 16
