Question

Translate each statement into an equation and then solve the equation for the unknown number. The difference between a number and 41 is 105.

Short answer

Answer: The unknown number is 146.

Step-by-step solution

1. Translate the statement into an equation

First, let's represent the unknown number by the variable x. The statement says "The difference between a number and 41 is 105." This can be translated into the equation: x - 41 = 105.

2. Solve the equation for the unknown number

Now, we need to isolate x by adding 41 to both sides of the equation: x - 41 + 41 = 105 + 41 x = 146

3. Conclusion

The unknown number, represented by the variable x, is 146.