Ishaan is 72 years old and William is 4 years old. How many years will it take until Ishaan is only 5 times as old as William?

Denoting the number of years: Let's denote the number of years it will take for Ishaan to be only 5 times as old as William as ＂n＂. Currently, Ishaan is 72 years old and William is 4 years old. After ＂n＂ years, Ishaan will be 72 + n years old and William will be 4 + n years old. The equation to represent the situation where Ishaan is 5 times as old as William is: 72 + n = 5(4 + n)Distributing the 5: Now, let's distribute the 5 on the right side of the equation: 72 + n = 20 + 5nRearranging the equation: Next, we will rearrange the equation to solve for ＂n＂. We can do this by subtracting ＂n＂ from both sides and also subtracting 20 from both sides to isolate ＂n＂: 72 + n - n - 20 = 20 + 5n - n - 20 52 = 4nDividing both sides: Now, we divide both sides by 4 to solve for ＂n＂: 52 / 4 = 4n / 4 n = 13Finding the value of n: We have found that ＂n＂ equals 13. This means it will take 13 years for Ishaan to be only 5 times as old as William.

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Ishaan is 72 years old and William is 4 years old.
How many years will it take until Ishaan is only 5 times as old as William?

Ishaan is $72$ years old and William is $4$ years old. $\newline$ How many years will it take until Ishaan is only $5$ times as old as William?

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Algebra 2

Solve a system of equations using any method: word problems

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Q. Ishaan is $72$ years old and William is $4$ years old.

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How many years will it take until Ishaan is only $5$ times as old as William?

Denoting the number of years: Let's denote the number of years it will take for Ishaan to be only $5$ times as old as William as $n$ . Currently, Ishaan is $72$ years old and William is $4$ years old. After $n$ years, Ishaan will be $72 + n$ years old and William will be $4 + n$ years old. The equation to represent the situation where Ishaan is $5$ times as old as William is: $\newline$ $72 + n = 5(4 + n)$
Distributing the $5$ : Now, let's distribute the $5$ on the right side of the equation: $\newline$ $72 + n = 20 + 5n$
Rearranging the equation: Next, we will rearrange the equation to solve for $n$ . We can do this by subtracting $n$ from both sides and also subtracting $20$ from both sides to isolate $n$ : $\newline$ $72 + n - n - 20 = 20 + 5n - n - 20$ $\newline$ $52 = 4n$
Dividing both sides: Now, we divide both sides by $4$ to solve for $n$ : $\newline$ $\frac{52}{4} = \frac{4n}{4}$ $\newline$ $n = 13$
Finding the value of $n$ : We have found that $n$ equals $13$ . This means it will take $13$ years for Ishaan to be only $5$ times as old as William.