Damyan

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Answer:

Given :

- The difference between two numbers is 5.
- The sum of their squares is 125.

To find :

- Product of the numbers?

Solution :

☯ Let two numbers be x and y.

★ According to the Question:

- The difference between two numbers is 5.

⇒ x - y = 5⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ❬ eq (1) ❭

Also,

- The sum of their squares is 125.

⇒ x² + y² = 125 ⠀⠀⠀⠀⠀⠀⠀❬ eq (2) ❭

⠀━━━━━━━━━━━━━━━━━━━━━

As we know that,

★ (x - y)² = x² + y² - 2xy

Now from eq (1) and eq (2),

⇒ (5)² = 125 - 2xy

⇒ 25 = 125 - 2xy

⇒2xy = 125 - 25

⇒ 2xy = 100

⇒ xy = 100/2

⇒ xy = 50

∴ Hence, Product of the numbers is 50.

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