The sum of two numbers is 12 and their difference is 5. Find each of the numbers.

8.5 and 3.5

Step-by-step explanation:

Let the two numbers be a and b

Represent the question in an equation:

a + b = 12 eqn 1

a - b = 5eqn 2

2a = 17 addition of both equations

Divide both sides by 2

a = 17/2

a = 8.5

To find b, Substitute the value of a into equation 2

a - b = 5, where a = 8.5

8.5 - b = 5

Make b the subject

-b = 5 - 8.5

-b = -3.5, divide both sides by -1

b = 3.5

Check with reference to the question:

8.5 + 3.5 = 12

8.5 - 3.5 = 5

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