Question

Yancy is 2 years older than 3 times her younger sister’s age. Her younger sister is 6 years old. How old is Yancy?

Answer 1

To solve for this, let's rewrite the question into an equation. As we do that, I'll write in parenthesis the translation of the question.

Yancy (Y) is (=) 2 years older than 3 times her younger sister's age (3S + 2). Her younger sister (S) is (=) 6 years old (6).

Let's rewrite only our parenthesis.

Y = 3S + 2
S = 6

Now that we have written our equation, let's solve.
Yancy's younger sister is 6, so plug 6 into the equation "3S + 2" for S.

3(6) + 2
3(6) means to multiply 3 by 6.
3(6) = 18
18 + 2 = 20

Yancy is 20 years old.

Your answer is C.) 20.

I hope this helps!