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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.

1 Answer

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Answer:

Number = 84

Explanation:

Given

Represent Tens with T and Ones digit with U


T = 2U


T + U = 12

Required

Find the number

Substitute 2U for T in the second equation


2U + U = 12


3U = 12

Divide through by 3


U = 4

Substitute 4 for U in the first equation


T = 2 * 4


T = 8

Hence, the number is 84

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