Question 1174651
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<pre>

    Angela +  aunt  = 54


     A     + (3A+2) = 54


          4A        = 54 - 2 = 52


           A                 = 52/4 = 13


<U>ANSWER</U>.  Angela is 13 years old.  Her aunt is  3*13 + 2 = 41 years old.


<U>CHECK</U>.   13 + 41 = 54.    ! Correct !
</pre>

Solved.


The answer by @josgarithmetic is WRONG --- so ignore it.