Question

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

Please Answer step wise

Answer 1

Let the numbers be x and y
X+y = 5

X^2-y^2=5
(X+y)(x-y)=5
5(x-y)=5
X-y=5 /5
X-y =1
Therefore the difference between the two numbers is 1

Answer 2

Let the two numbers be x and y.

Given that sum of two numbers is 5.

= > x + y = 5   ----- (1)

Given that Difference of their squares is 5.

= > x^2 - y^2 = 5  

We know that a^2 - b^2 = (a + b)(a - b)

= > (x + y)(x - y) = 5

= > (5)(x - y) = 5

= > (x - y) = 1.

Therefore, the difference of the numbers = 1.

Hope this helps!