I'm thinking of two numbers. The first number is three times the second. The second number is five less than two times the first. What are my numbers?

Easy to translate from English to Math.

Let the 2nd number be x and the first one y

"The first number is three times the second"
y = 3x

"The second number is five less than two times the first"

x = 2(3x) - 5
-5x = 5
x = 1
then y = 3

The first number is 3 and the second is 1

check:
Is the first number three times the second? YES
second number: 1
two times the first: 6
is 1 less than 6 by 5 ? YES

To solve this problem, let's assign variables to the two numbers.

Let's say the first number is "x" and the second number is "y".

From the given information, we know that:
- The first number is three times the second: x = 3y
- The second number is five less than two times the first: y = 2x - 5

We can now use these equations to find the values of x and y.

Substitute the value of x from the first equation into the second equation:
y = 2(3y) - 5

Simplify the equation:
y = 6y - 5

Move all the variables to one side of the equation:
5 = 6y - y

Combine like terms:
5 = 5y

Divide both sides by 5 to solve for y:
y = 1

Now substitute the value of y back into the first equation to find the value of x:
x = 3(1)
x = 3

Therefore, the first number is 3, and the second number is 1.