# In eight years, peter will be three times old as he was eight years ago, how old is peter now?

##### 3 Answers

#### Explanation:

Writing

Add

Subtract

Divide both sides by

Peter is **16 years old** now.

#### Explanation:

Since you're only dealing with Peter's age at various points in time, you will only need to write one equation.

Let's say that Peter's age is *eight years from now*, Peter will be **three times** as old as he was *eight years ago*.

If you take Peter's age eight years from now to be

#x+8 = 3 * (x-8)#

Solve this equation for

#x + 8 = 3x - 24#

#2x = 32 implies x = 32/2 = color(green)(16)#

So, eight years ago Peter was **8**. Eight years from now, which is equivalent to **16 years** from when he had 8 years, he will be **24**.

Peter is currently

#### Explanation:

Let's represent peter's age by the variable

In eight years Peter will be

Eight years ago Peter was

The problem says that

Mathematically,

Now, we just solve this equation for

Hence, Peter is currently