Answer:
Angela is 13 years old and Angela's aunt is 41 years old.
Step-by-step explanation:
With the information provided you know that Angela's aunt is two more than three times her age, which could be expressed as:
x=3y+2, where:
x is Angela's aunt age
y is Angela's age
Also, you know that the total of their ages is 54, which is:
x+y=54
Now, you can replace x=3y+2 in x+y=54 and solve for y:
3y+2+y=54
4y=54-2
4y=52
y=52/4
y=13
Finally, you can replace the value of y in x=3y+2 to find x:
x=3(13)+2
x=39+2
x=41
According to this, the answer is that Angela is 13 years old and Angela's aunt is 41 years old.
