Tiffany is 34 years old and Vanessa is 6 years old. How many years will it take until Tiffany is only 3 times as old as Vanessa?

Denote Years as x: Let's denote the number of years it will take for Tiffany to be only 3 times as old as Vanessa as ＂x＂ years.Calculate Tiffany's Age: After x years, Tiffany's age will be 34 + x years.Calculate Vanessa's Age: Similarly, after x years, Vanessa's age will be 6 + x years.Set Up Equation: We are looking for the time when Tiffany's age is 3 times Vanessa's age. So we can set up the equation: 34 + x = 3 * (6 + x)Solve for x: Now we solve for x: 34 + x = 18 + 3xSubtract x: Subtract x from both sides to get: 34 = 18 + 2xIsolate x Term: Subtract 18 from both sides to isolate the term with x: 34 - 18 = 2x 16 = 2xDivide to Solve x: Divide both sides by 2 to solve for x: 16 / 2 = x 8 = x

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Tiffany is 34 years old and Vanessa is 6 years old.
How many years will it take until Tiffany is only 3 times as old as Vanessa?

Tiffany is $34$ years old and Vanessa is $6$ years old. $\newline$ How many years will it take until Tiffany is only $3$ times as old as Vanessa?

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Algebra 2

Solve a system of equations using any method: word problems

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Q. Tiffany is $34$ years old and Vanessa is $6$ years old.

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How many years will it take until Tiffany is only $3$ times as old as Vanessa?

Denote Years as $x$ : Let's denote the number of years it will take for Tiffany to be only $3$ times as old as Vanessa as $\text{“}x\text{”}$ years.
Calculate Tiffany's Age: After $x$ years, Tiffany's age will be $34 + x$ years.
Calculate Vanessa's Age: Similarly, after $x$ years, Vanessa's age will be $6 + x$ years.
Set Up Equation: We are looking for the time when Tiffany's age is $3$ times Vanessa's age. So we can set up the equation: $\newline$ $34 + x = 3 \times (6 + x)$
Solve for x: Now we solve for x: $34 + x = 18 + 3x$
Subtract $x$ : Subtract $x$ from both sides to get: $\newline$ $34 = 18 + 2x$
Isolate $x$ Term: Subtract $18$ from both sides to isolate the term with $x$ : $34 - 18 = 2x$ $16 = 2x$
Divide to Solve $x$ : Divide both sides by $2$ to solve for $x$ : $\frac{16}{2} = x$ $8 = x$