Answer:
smaller number is 26
larger number is 28
Step-by-step explanation:
This is a system of equations that we can solve by substitution. Let x = the smaller number and y the larger. The two equations are:
x + y = 54
x + 5y = 166
Solve the first equation for y and use that in the second equation.
y = 54 - x (we will plug this in for y in the second equation and solve that for x)
x + 5(54 - x) = 166
x + 270 - 5x = 166
-4x = 166 - 270
-4x = -104
x = 26
Plug this into x + y = 54 and solve for y
26 + y = 54
y = 54 - 26
y = 28
