Question

solve the following by setting up the proper equations to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). let \\(x\\) represent the larger number and \\(y\\) represent the smaller number. enter your answer in \\((x, y)\\) format.

the difference between two numbers is 5, and the sum of those two numbers is 21. what are the two numbers?

Explanation:

Translate the problem into algebraic equations

Using the Algebraic Modeling knowledge point

$$
LATEXBLOCK0
$$

Solve the system of equations

Using the Systems of Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Find the value of the smaller number

Using the Algebraic Substitution knowledge point

$$
LATEXBLOCK2
$$

Answer:

The difference between two numbers is 5, and the sum of those two numbers is 21. What are the two numbers?

Answer: <blank>\((13, 8)\)</blank>