4. The sum of two numbers is 50. If twice the larger is subtracted from 4 times the smaller the result is 8. Find the numbers

is it this x+x(2x-4=8)=50

1 answer

Let x = larger number.
y = smaller number
x + y = 50
4y - 2x = 8
2x + 8 = 4y = 4 (50 - x)
2x + 8 = 200 - 4x
6x = 192
x = 32
y = 18