The sum of two numbers is 4 1/8 and their difference is 7/8. what are the numbers? explain how you found your answer.

Step-by-step explanation:

Firstly, we have to transform what is written in words to equations.

The sum of two numbers is 41/8

If we call the unknown numbers as and , we will have:

(1)

Their difference is 7/8

(2)

Now we have a system with two equations and two unknowns. Let's solve it.

Isolating from (1):

(3)

Substituting (3) in (2):

(4)

Isolating :

(5) This is the value of y

Substituting (5) in (1):

(6)

Finding :

(7) This is the value of x

the answer is b