# One number is eight more than twice another. If their difference is 25, what is the larger number?

In algebra, the problem is expressed as a mathematical expression using variables and constants called an equation.

## Answer: The larger number is 42.

Let's find the larger number.

**Explanation:**

To find the numbers, we will have linear equation with one variable.

Let the smaller number be 'x' and the larger number be 2x + 8.

⇒ 2x + 8 - x = 25

⇒ x + 8 = 25

By subtracting 8 from both the sides, we get

⇒ x + 8 - 8 = 25 - 8

⇒ x = 17

The smaller number is 17.

The larger number is 2 x + 8 = 2 (17) + 8 = 42