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
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?
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?
Adding It Up
The sum of a number and five more than that number is 47. What is the number?
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?
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?
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?
Next Year
Next year, Martha will be three times as old as she was 17 years ago. How old is Martha now?
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?
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?
Blogs on This Site
Like us on Facebook to get updates about new resources