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.

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01-02-2019
Mathematics

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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.

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MsRay MsRay · Answer 1 · 2019-02-01T01:35:12+01:00

Answer:

*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.