Danielle’s aunt is 8 years than 3 times danielle’s age. her aunt is 34. write an equation that relates danielle’s age, a, to her aunt’s age. then find danielle’s age.

*Assuming that the question should read '8 years less than 3 times Danielle's age'*

Equation:  3a - 8 = 34, where 'a' = Danielle's age

Danielle's age (a) = 14

Step-by-step explanation:

Using key words and phrases from the problem, we can find Danielle's age by setting up an equation to solve for 'a'.  

Since Danielle's aunt is '8 years less than 3 times Danielle's age' her aunt's age can be written as:  3a - 8.  We also know her aunt is 34.  So, the equation becomes:

3a - 8 = 34

Add 8 to both sides:  3a - 8 + 8 = 34 + 8 or 3a = 42

Divide both sides by 3:  3a/3 = 42/3

Solve for a:  a = 14, so Danielle's age is 14 years old.