Question

The difference of two numbers is six, and the sum is 18. What are the numbers?

a) 6 and 12
b) 8 and 10
c) 9 and 9
d) 7 and 11

Answer 1

The difference of two numbers is six and the sum is 18. The numbers are 12 and 6.

Step-by-step explanation:

To find the two numbers, let's represent them as x and y. According to the problem, the difference of the two numbers is 6, which can be written as:

x - y = 6

The sum of the numbers is 18, which can be written as:

x + y = 18

We can solve these equations by adding them together:

(x - y) + (x + y) = 6 + 18

2x = 24

x = 12

Substituting the value of x into one of the original equations, we can find y:

12 + y = 18

y = 6

So the two numbers are 12 and 6.