# Trey can type 19 words per minute faster than Conner. Their combined typing speed is 97 words per minute. How fast does Conner type?

Sep 24, 2016

$58$

#### Explanation:

We can use this equation to solve it:

$x + \left(19 + x\right) = 97$

• $x$ is Conner's speed, which is unknown

• $19 + x$ is Trey's speed, which is $19$ words per minute faster than Conner

• $97$ is their total combined speed

Now we simplify the equation

$2 x + 19 = 97 \text{ }$ (Combine like terms)

$2 x + 19 - 19 = 97 - 19 \text{ }$ (isolate $x$ by subtracting $19$ from both sides)

$2 x = 78$

$\frac{x}{2} = \frac{78}{2} \text{ }$ (divide both sides by $2$ to isolate $x$)

$x = 39$

So Trey's speed is $39$

That isn't the final answer, though. To find Conner's speed use $x + 19$

$39 + 19 = 58$