Question

Angela's aunt is two more than three times her age. The total of their ages is 54. How old is Angela and how old is her aunt?

Answer 1

Angela is 13 years old and Angela's aunt is 41 years old.

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.