Question

5. The sum of two numbers is 8 and the difference
of their squares is 32. Find the numbers.​

Answer 1

this is your answer

hope it's help you

Answer 2

Answer:

First number is 6 and second number is 2.

Step-by-step explanation:

Given :

• Sum of two numbers = 8
• Difference of their squares = 32

To find :

The two numbers

Solution :

Let the numbers be x and y.

Then,

⇒ x + y = 8 - i)

⇒ x² - y² = 32 - ii)

We know,

➤ a² - b² = (a + b)(a - b)

From ii)

⇒ (x + y)(x - y) = 32

⇒ (i)(x - y) = 32

⇒ (8)(x - y) = 32

⇒ (x - y) = 32/4 = 8

So,

⇛ (x + y) + (x - y) = 8 + 4

⇛ 2x = 12

⇛ x = 6

Now,

⇒ x + y = 8 - i)

⇒ 6 + y = 8

⇒ y = 2

Hence,

• First number = 6
• Second number = 2