Question 106358
Since the three voltages are compared in terms of the smallest, let x = Vs.


The medium voltage is 2 volts larger than the smallest, so x + 2 = Vm


And the largest voltage is 6 volts larger than the smallest, so x + 6 = Vl


{{{Vs + Vm + Vl = 38 volts}}} or,

{{{x + ( x + 2) + (x + 6) = 38}}}


Simplifying,

{{{3x + 8 = 38}}}
{{{3x=30}}}
{{{x = 10}}}, hence the smallest voltage is 10 volts, the medium voltage is 12 volts, and the largest voltage is 16 volts.


Checking the answer:


{{{ 10 + 12 + 16 = 38}}} check