Square of a Sum
Pro Problems > Math > Algebra > Equations > Word Problems > LinearSquare of a Sum
The sum of the squares of two positive numbers is 96 less than the square of the sum of the two numbers. If one number is two more than the other, what are the two numbers?
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
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?
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?
Next Year
Next year, Martha will be three times as old as she was 17 years ago. How old is Martha now?
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?
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?
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?
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?
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?
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?
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?
Blogs on This Site
