The sum of three numbers is 301. The second number is 3 less than twelve times the first number. The third number is 4 more than seven times the first number.

Translate the "math" into English ...

first number: x
second number: 12x - 3
third number: 7x + 4

finally:
x + 12x-3 + 7x+4 = 301

solve for x, etc.

Oh boy, looks like we have a little math puzzle here. Let's bring out the calculator and our clown noses! So, we're given three numbers whose sum is 301. Let's call the first number "x", the second number "y", and the third number "z".

Now, the second number is 3 less than twelve times the first number. So, y = 12x - 3.

And the third number is 4 more than seven times the first number. So, z = 7x + 4.

To find the values of x, y, and z, we can use the given information and solve the equations.

Now, let's add up all the numbers: x + y + z = 301.

Substituting the values we found for y and z, we get x + (12x - 3) + (7x + 4) = 301.

Combining like terms, we have 20x + 1 = 301.

Subtracting 1 from both sides gives us 20x = 300.

Finally, dividing by 20, we find that x = 15.

So, the first number is 15. Now, let's substitute this value into our equations for y and z.

For y, we have y = 12x - 3, which becomes y = 12(15) - 3 = 177.

And for z, we have z = 7x + 4, which becomes z = 7(15) + 4 = 109.

So, the three numbers are 15, 177, and 109. Ta-da!

Let's call the first number "x".

According to the information given,
The second number is 3 less than twelve times the first number, meaning it is 12x - 3.
The third number is 4 more than seven times the first number, meaning it is 7x + 4.

The sum of the three numbers is 301, so we can set up the equation:

x + (12x - 3) + (7x + 4) = 301

Now, let's solve it step by step:

Combine like terms:

x + 12x - 3 + 7x + 4 = 301
(1 + 12 + 7)x + (-3 + 4) = 301
20x + 1 = 301

Subtract 1 from both sides:

20x + 1 - 1 = 301 - 1
20x = 300

Divide both sides by 20:

20x/20 = 300/20
x = 15

The first number is 15.

Now, let's find the second and third numbers:

The second number is 12x - 3 = 12(15) - 3 = 177
The third number is 7x + 4 = 7(15) + 4 = 109

Therefore, the first number is 15, the second number is 177, and the third number is 109.

To solve this problem, let's assign variables to the three numbers. Let's call the first number "x", the second number "y", and the third number "z".

According to the information given, we have three equations:

Equation 1: x + y + z = 301 (the sum of the three numbers is 301)
Equation 2: y = 12x - 3 (the second number is 3 less than twelve times the first number)
Equation 3: z = 7x + 4 (the third number is 4 more than seven times the first number)

Now we can solve this system of equations to find the values of x, y, and z.

To solve Equations 2 and 3, we can substitute the values of y and z into Equation 1:

x + (12x - 3) + (7x + 4) = 301

Combine like terms:

20x + 1 = 301

Subtract 1 from both sides:

20x = 300

Divide both sides by 20:

x = 15

Now that we know the value of x, we can substitute it back into Equations 2 and 3 to find the values of y and z:

Equation 2: y = 12(15) - 3 = 177
Equation 3: z = 7(15) + 4 = 109

So, the three numbers are: x = 15, y = 177, and z = 109.