High School

We appreciate your visit to The sum of two numbers is 100 and their difference is 37 What is the difference of their squares A 100 B 3700 C 37. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The sum of two numbers is 100, and their difference is 37. What is the difference of their squares?

A. 100
B. 3700
C. 37
D. 63

Answer :

3700

Let the numbers be A and B

A + B = 100

A - B = 37

A = 68.5

B = 31.5

A^2 - B^2 = (68.5)^2 - (31.5)^2
= 4692.25 - 992.25 = 3700

Thanks for taking the time to read The sum of two numbers is 100 and their difference is 37 What is the difference of their squares A 100 B 3700 C 37. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Answer:

x + y = 100

x - y = 37

--------------

2x = 137

x = 68.5, y = 31.5

68.5² - 31.5² = (68.5 - 31.5)(68.5 + 31.5)

= 37(100) = 3,700

The correct answer is B.