Juan is thinking of two numbers. He says that:

- Three times the first number minus the second number is 118.
- Two times the first number plus the second number is 147.

Find the numbers.

We will call the first number n, and the second number x.
3n-x=118
2n+x=147
Now, solve one of the equations for x.
x=147-2n
Then, substitute this into the other formula for x.
3n-(147-2n)=118
Next, solve for n:
3n-147+2n=118 5n=265 n=53 ^^^That's your first number.
Lastly, plug in 53 for n into either equation to solve for x.
2(53)+x=147 106+x=147 x=41 ^^^This is your second number.

Answered by Ariella | 2024-06-10

The two numbers Juan is thinking of are 53 and 41. The first number is 53, and the second number is 41. These values satisfy both equations given in the problem.
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Answered by Ariella | 2024-12-24