Games
Problems
Go Pro!

Square of a Sum

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

Square 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?

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

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'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?

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?

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?

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?

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?

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?

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?

Adding It Up

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

Yards and Feet, Snake in the Grass, Find the Number, Finding X, Melting Snow, Single variable equation, Moving Christmas

Understanding Coronavirus Spread

A Question and Answer session with Professor Puzzler about the math behind infection spread.

Blogs on This Site

Reviews and book lists - books we love!
The site administrator fields questions from visitors.
Like us on Facebook to get updates about new resources
Home
Pro Membership
About
Privacy