Let's solve the equation step by step:

(27.4 - 0.2x) / 0.08 = 1.6
Simplify the left side of the equation by dividing 27.4 - 0.2x by 0.08
27.4 / 0.08 - 0.2x / 0.08 = 1.6
342.5 - 2.5x = 1.6
-2.5x = -340.9
x = 136.36

(21.3 + 0.3x) * 0.05 = 2.4
Simplify the left side of the equation by multiplying (21.3 + 0.3x) by 0.05
1.065 + 0.015x = 2.4
0.015x = 1.335
x = 89

Therefore, the solutions to the equations are:
x = 136.36 (for the first equation)
x = 89 (for the second equation)