Final Answer:
A variable x is used to represent an unknown number.
Step-by-step explanation:
In Tom's computer program, a variable is employed to represent the unknown number meeting the specified conditions. Typically, when solving problems computationally or mathematically, a variable, denoted here as x, is utilized to stand for the unknown quantity. In this case, Tom aims to find a two-digit number where the sum of its digits is 7, and upon reversing the digits, the number should increase by a certain value. By using a variable such as x, Tom's program can systematically explore different numerical possibilities to find the number that fulfills these criteria.
The choice of a variable like x enables the program to perform calculations and comparisons while seeking the appropriate number. Tom's algorithm likely involves assigning the unknown number to the variable x, applying conditions related to the sum of digits and the increment upon digit reversal, and iterating through possible values until a suitable solution is found. The use of a variable allows for flexibility in manipulating and testing various numerical scenarios within the program.
The selection of a variable like x is standard practice in programming and mathematical problem-solving. It represents an unknown value that the program seeks to determine through a systematic computational process. By utilizing a variable, Tom's program can efficiently navigate through potential solutions to identify the specific two-digit number that satisfies the given conditions.