One number is eight more than twice another; if their difference is 25, what is the larger number?

Let’s define the two numbers.

Let the smaller number be x. According to the problem, the larger number is 8 more than twice the smaller number, which can be expressed as 2x + 8.

The problem also states that the difference between the larger number and the smaller number is 25. We can set up the equation as follows:

(2x + 8) – x = 25

Simplifying this equation:

2x + 8 – x = 25

x + 8 = 25

Now, subtract 8 from both sides:

x = 25 – 8

x = 17

Now that we know the smaller number is 17, we can find the larger number:

2x + 8 = 2(17) + 8

= 34 + 8

= 42

Thus, the larger number is 42.