Three Numbers

Pro Problems > Math > Algebra > Equations > Word Problems > Linear

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?

Presentation mode

Problem by Mr. Twitchell

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.

Assign this problem

Click here to assign this problem to your students.

Similar Problems

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?

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?

Snake in the Grass

Two snakes started out the same length. The first snake grew five inches, and the second grew by half its own length. If the first snake is now two inches shorter than the second snake, what was the original length of the two snakes?

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?

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?