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Let t be the required number of years.
34 + t = 3(6 + t)
34 + t = 18 + 3t
2t = 16
t = 8
The answer is 8 years.

Answer:

It will take 8 years for Tiffany to become 3 times as old as Vanessa.

Step-by-step explanation:

We have been given that Tiffany is 34 years old Vanessa is 6 years old.

Let the time taken by until Tiffany is only 3 times as old as Vanessa be x

Hence, according to the information given in the question equation becomes:

Age of Tiffany after x years will be: 34 +x

Age of Vanessa after x years will be: 6+x

Since, we have to find when Tiffany is 3 times as old as Vanessa

Equation becomes:

34+x =3(6+x)

34+x=18+3x

2x=16

x=8

It will take 8 years for Tiffany to become 3 times as old as Vanessa.