Question

I NEED HELP ASAP Follow the process for establishing a set of equations: Choose a variable to represent one of the unknowns. Express the remaining unknowns in terms of the variable you chose in step 1. Look for a relationship between the unknowns given in the problem. Write an equation. (Look for the other relationship given in the problem.) The tens digit of a number is twice the ones digit. The sum of the digits in the number is 12. What is the number? Include the entire process for establishing a set of equations, the solution, and an explanation of what the solution means in terms of the variables. Complete your work in the space provided.

Answer 1

Explanation:

Identify the variables (x,y) and represent them using the unknowns like this:

Let x represent the tens digit and y represent the ones digit of the number.

Relationships between the unknowns from the question:

x = 2y, and x + y = 12.

We can solve these simultaneous equations by substitution:

x + y = 2y + y = 12, 3y = 12, y = 4. So x = 8.

Link back to the question:

Therefore, the number is 84.