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2) If the sum of two numbers is 45 and their difference is 12, what is the difference of
their squares? ​


Sagot :

Answer:

The sum of two numbers is 45 and their difference is 12. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 45. In other words, x plus y equals 45 and can be written as equation A:

x + y = 45

The difference between x and y is 12. In other words, x minus y equals 12 and can be written as equation B:

x - y = 12

Now solve equation B for x to get the revised equation B:

x - y = 12

x = 12 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 45

12 + y + y = 45

12 + 2y = 45

2y = 33

y = 16.5

Now we know y is 16.5. Which means that we can substitute y for 16.5 in equation A and solve for x:

x + y = 45

x + 16.5 = 45

X = 28.5

Summary: The sum of two numbers is 45 and their difference is 12. What are the two numbers? Answer: 28.5 and 16.5 as proven here:

Sum: 28.5 + 16.5 = 45

Difference: 28.5 - 16.5 = 12