Question

difference between the square of two numbers is 216 and the sum of the two numbers is 18 the difference between the two numbers is​

Answer 1

Step-by-step explanation:

Find two consecutive odd whole numbers such that the For Problems 1–20, ... 5. x2 18x 9 6. 7. ... 52. sum of their squares is 74. ... 1 2 The difference between two whole numbers is 8, and the difference ...

Answer 2

The difference between the two numbers (x - y) = 12

Step-by-step explanation:

Let x and y be the two numbers .

Where, x > y

To find, the difference between the two numbers = ?

According to question,

The difference between the square of two numbers(x - y) = 216

$x^{2} -y^{2} =216$          

⇒ (x + y)(x - y) = 216    ................ (1)

Also,

The sum of the two numbers = 18

x + y = 18                    ................ (2)

From equations (1) and (2), we get

(18)(x - y) = 216

⇒ x - y = $\dfrac{216}{18}$

⇒ x - y = 12

∴ The difference between the two numbers (x - y) = 12