# Find the Number

Pro Problems > Math > Algebra > Equations > Word Problems > Linear## Find the Number

The sum of a number and twice that number is 20% more than the result would have been if the number had been increased by 12 and then doubled. What is the 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

### 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?

### 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?

### Giant Roller Coaster

An amusement park has an enormous roller coaster with 48 roller coaster cars, each of which was carrying the same number of people. Six of the cars were removed from the coaster, and each of the remaining cars had to carry one extra person. How many people were there on the roller coaster?

### Melting Snow

The day after a snowstorm, 25% of the snow that fell melted. Then there was another snowstorm in which twice as much snow fell as in the first storm. Then 25% of the total remaining snow on the ground melted, leaving 33 inches. How much snow fell in the first storm?

### 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?

### White Board Markers

I have a problem with dry erase markers disappearing from my classroom. A third of my markers were stolen by a student, and then one of my co-workers "borrowed" four markers. After that I realized that half of the remaining markers didn't work, so I threw them away.

In the end, I just had two markers left.

How many did I start with?

### Adding It Up

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

### 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?

### 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?

### 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.