Question

The sum of two numbers as well as the difference between their square is 9. Find the number

Answer 1

Answer:

6 and 3

Step-by-step explanation:

Let the numbers be x and y

ATQ,

Sum of two numbers= 9

$x + y = 9..............(1)$

Again,

Difference between their square= 9

(x-y)²= 9

x-y=3

........... (2)

Two equations are:

$x + y = 9 \\ x - y = 3 \\ 2x = 12 \\ x = 6$

Putting the value of x in equation (1)

$x + y = 9 \\ 6 + y = 9 \\ y = 9 - 6 = 3 \\ y = 3$

Therefore,

The required numbers are 6 and 3.