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Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
Three batteries are connected in series so that the total voltage is 54 volts. The voltage of the first battery is twice the voltage of the second and 1/3 the voltage of the third battery. Find the actual voltage of each battery.

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  • math -

    Va+Vb+Vc=54
    The voltage of the first battery is twice the voltage of the second and 1/3 the voltage of the third battery. This statement is not definitive.
    does it mean Va=2Vb AND Va=1/3 Vc or does it mean
    Va=2Va+1/3 Vc OR does it mean
    Va=2(Va+1/3 Vc).

    The problem cannot be solved until that is known.

  • math -

    nonsense. let the three batteries by A,B,C

    then A = 2B
    3A = C
    A + B + C = 54

    so A = 12
    B = 6
    C = 36

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