Two numbers add up to 95. One number is 6 more than the other. What is the larger number?

Let the two numbers be $x$ and $y$.

The sum of the two numbers is 95:

One number is 6 more than the other. Let's assume $x$ is the larger number:

Substitute $x = y + 6$ into $x + y = 95$:

Subtract 6 from both sides:

Divide by 2:

Substitute the value of $y$ back into equation (2):

Comparing $x = 50.5$ and $y = 44.5$, the larger number is $x$.

The larger number is $\text{50.5}$.