# The greater of two numbers is 9 more than the smaller Their sum is 67. How do you find the numbers?

Oct 24, 2016

The two numbers are $38$ and $29$.

#### Explanation:

We shall consider the numbers as $\left(x + 9\right)$ and $x$ since the greater is 9 more than the smaller. Since the sum of the numbers is 67, we can write the equation:

$\left(x + 9\right) + x = 67$

Opening the brackets and simplifying:

$x + 9 + x = 67$

$2 x + 9 = 67$

Subtracting 9 from both sides:

$2 x = 58$

$x = 29$ and $\left(x + 9\right) = 38$