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

Answer 1

4s -2L = 8

s+L = 50

2s -L = 4

L = 2s -4

s + 2s-4 = 50

3s = 54

s = 54/3 = 18 = the smaller number

L = 50-18 = 32 = the larger number

4(18) -2(32) = 72 -64 = 8