Three Numbers
Pro Problems > Math > Algebra > Equations > Word Problems > LinearThree 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?
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
Adding It Up
The sum of a number and five more than that number is 47. What is the number?
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?
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?
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?
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?
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?
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?
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?
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.
Blogs on This Site
Like us on Facebook to get updates about new resources