# Arithmetic Operation Word Problem

Pro Problems > Math > Algebra > Equations > Word Problems > Linear## Arithmetic Operation Word Problem

If 12 more than a number is added to the number, and three times the number is subtracted, the result is the original number. What is the original number?

## Solution

In order to make it feasible for teachers to use these problems in their classwork, no solutions are publicly visible, so students cannot simply look up the answers. If you would like to view the solutions to these problems, you must have a Virtual Classroom subscription.## Similar Problems

### A Third of a Fourth

Half of a third of a number is decreased by six, and a third of a fourth of the result is increased by ten. One fifth of the result is 17. What is the original number?

### Three Numbers

I'm thinking of three numbers. The second number is fourteen more than the first number, and the third number is twice the second number. If the first number is subtracted from the third, the result is 44. What is the third number?

### Three Numbers

I have a sheet of paper with three integers written on it. If I add them together, I have a sum of 38.

Two of the numbers differ by one. One of the three numbers is 11.

What is the largest possible integer that could be written on the paper?

### Single variable equation

A number, plus 5 more than that number, plus twice the sum of 5 and that number, is 43. What is the number?

### Moving Christmas

Hermie doesn't want to celebrate Christmas on December 25th, so he suggested moving it to a date *n* days later. Rudolph protested that then Christmas wouldn't happen as often.

Frosty then suggested that the date could be moved *n *days in the other direction. If Frosty's suggestion was followed, on what day would Christmas fall?

### Adding It Up

The sum of a number and five more than that number is 47. What is the number?

### Yards and Feet

The height of a building measured in feet is 196 more than its height measured in yards. What is the height of the building in feet?

### Until New Years Day

The number of seconds until New Years Day (when the ball drops at Midnight) is equal to the number of hours since the last time the ball dropped. Assuming a non-leap-year, what is the current date and time, to the nearest minute?

### Finding X

Two more than twice the sum of x and five is equal to twelve less than three times the sum of x and two.

### Stair climber

Nathan started at the bottom of the stairs and climbed *n *steps. After that he went down *n - 4* steps, and was then 15 steps from the top of the stairs. How many steps are there?

# Ask Professor Puzzler

Do you have a question you would like to ask Professor Puzzler? Click here to ask your question!**Get a**

*FREE*Pro-Membership!Educators can get a free membership simply by sharing an original lesson plan on our

*Articles for Educators*page!