Final Answer:
The equations representing Ali's statement are (2x + y = 17), where (x) is the first number Ali is thinking of, and (y) is the second number.
Step-by-step explanation:
Ali's statement can be translated into a mathematical equation. Let (x) represent the first number Ali is thinking of and (y) represent the second number. The statement "When he doubles the first one and adds on the second, he gets 17" can be expressed as the equation (2x + y = 17). This equation captures the essence of Ali's thought process, where doubling the first number (2x) and adding the second number (y) results in 17.
To break it down further, the term (2x) represents twice the value of the first number, and (y) represents the second number. Adding these together equals 17. This equation provides a clear mathematical representation of the relationship between the two numbers Ali is thinking of. Solving this equation would yield specific values for (x) and (y) that satisfy the given condition. The process involves algebraic manipulation, such as isolating one variable in terms of the other, to determine the numerical values of the numbers Ali has in mind.
In summary, the equation (2x + y = 17) encapsulates Ali's thought process, and solving this equation would reveal the precise values of the two numbers he is contemplating. This mathematical representation allows for a systematic and analytical approach to understanding the relationships between the numbers in question.