The sum of 3 numbers is 42

The sum of the first number and the third number +2 = the second number
The third number multiplied by 2 is equal to the sum of the first and third number

Can someone help me solve this? Questions like these make my brain hurt, I can't seem to solve this in my head...
I also need to create a question like this, can someone help me with that also? Thanks

Write it out helps.

Let the 3 numbers be A,B,C
B = A + C + 2
2C = A + C
42 = A + B + C

Sure, I can help you solve the given problem step by step.

Let's assume the three numbers are A, B, and C.

From the first statement, we know that:
A + B + C = 42

From the second statement, we know that:
A + C + 2 = B

From the third statement, we know that:
2C = A + C

To solve this system of equations, we can start by simplifying the third equation:
2C - C = A + C - C
C = A

Now we can substitute C with A in the other two equations:
A + B + A = 42 (coming from A + B + C = 42)
2A + 2 = B (coming from A + C + 2 = B)

We can simplify the first equation to:
2A + B = 42

Now let's substitute this value of B in the second equation:
2A + 2 = 2A + 42
2A - 2A = 42 - 2
0 = 40

It seems that there is no solution to this system of equations. The problem statement might have conflicting conditions or there might be a mistake in the given information.

Now, if you want to create a similar question, you can follow these steps:
1. Choose three unknown variables, let's say X, Y, and Z.
2. Create equations that relate the variables based on the conditions you want to set. For example:
- X + Y + Z = 30
- X + Z + 3 = Y
- 2Z = X + Z
3. Solve the system of equations using substitution or any other method to find the values of X, Y, and Z.

Additionally, you can create different conditions or adjust the given conditions to make the problem more complex or interesting.