In 16 years, Ben will be 3 times as old as he is right now. How old is he right now?

Problem statement: Let's denote Ben's current age as x years. According to the problem, in 16 years, Ben will be 3 times as old as he is now. We can write this as an equation: x + 16 = 3xEquation setup: Now, we need to solve for x. To do this, we'll subtract x from both sides of the equation to get the x terms on one side: x + 16 - x = 3x - x 16 = 2xSolving for x: Next, we divide both sides of the equation by 2 to solve for x: 16 / 2 = 2x / 2 8 = xChecking the solution: We have found that Ben's current age is 8 years. Let's check our work by plugging this value back into the original equation to ensure it makes sense: 8 + 16 = 3 * 8 24 = 24 This is correct, so there is no math error.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

In 16 years, Ben will be 3 times as old as he is right now.
How old is he right now?

In $16$ years, Ben will be $3$ times as old as he is right now. $\newline$ How old is he right now?

View step-by-step help

Home

Math Problems

Algebra 2

Solve a system of equations using any method: word problems

Full solution

Q. In $16$ years, Ben will be $3$ times as old as he is right now.

\newline

How old is he right now?

Problem statement: Let's denote Ben's current age as $x$ years. According to the problem, in $16$ years, Ben will be $3$ times as old as he is now. We can write this as an equation: $\newline$ $x + 16 = 3x$
Equation setup: Now, we need to solve for $x$ . To do this, we'll subtract $x$ from both sides of the equation to get the $x$ terms on one side: $\newline$ $x + 16 - x = 3x - x$ $\newline$ $16 = 2x$
Solving for x: Next, we divide both sides of the equation by $2$ to solve for $x$ : $\newline$ $\frac{16}{2} = \frac{2x}{2}$ $\newline$ $8 = x$
Checking the solution: We have found that Ben's current age is $8$ years. Let's check our work by plugging this value back into the original equation to ensure it makes sense: $\newline$ $8 + 16 = 3 \times 8$ $\newline$ $24 = 24$ $\newline$ This is correct, so there is no math error.