Question

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

Answer 1

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

Explanation:

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

`(x+9)+x=67`

Opening the brackets and simplifying:

`x+9+x=67`

`2x+9=67`

Subtracting 9 from both sides:

`2x=58`

`x=29` and `(x+9)=38`