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19 votes
19 votes
Stephanie is six years old. She is one year older than one-sixth the age of her mother. How old is Stephanie's mother?

User Jackelin
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2 Answers

16 votes
16 votes

Answer:

36

Explanation:

1/6 x = 6

multiply right side by 6 to simplify fraction

x = 36

User Johann Hagerer
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2.8k points
17 votes
17 votes
Let m represent the mother’s age. We can set up an equation, given Stephanie is 6 years old:

6 = 1/6m

Since we have an equation with a variable on one side, we can isolate it by dividing by the coefficient (1/6):

1/6 / 1/6 = 1

6 / 1/6 = 6/1 • 6/1 = 36/1 = 36

Stephanie’s mother is 36 years old.
User GalloCedrone
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2.9k points