The sum of two mumbers is 21, and their difference is 7. What are the numbers?

1 + 20

2 + 19
3 + 18
4 + 17

Keep going with this progression til you find the pair of numbers with a difference of 7.

7, and 14

To find the numbers, let's assign variables to them. Let's say the first number is x and the second number is y.

According to the information given, we can create two equations:

1. x + y = 21 (the sum of the two numbers is 21)
2. x - y = 7 (the difference between the two numbers is 7)

Now, we can solve these equations using a method called substitution or elimination.

Let's use the substitution method:

From equation 2, we can rearrange it to solve for x:

x = y + 7

Now substitute this value of x into equation 1:

(y + 7) + y = 21

Simplify the equation:

2y + 7 = 21

Subtract 7 from both sides of the equation:

2y = 14

Divide both sides by 2:

y = 7

Now that we have the value of y, substitute it back into equation 2 to find x:

x - 7 = 7
x = 7 + 7
x = 14

Therefore, the two numbers are 14 and 7.