Question

The sum of two numbers is 104 and their difference is 30. What is the difference
between their squares?​

Answer 1

Answer:

3120

Step-by-step explanation:

STEP 1 :

Let the numbers be x and y.

x + y= 104 ... (i)

x - y = 30 ....(ii)

solving eqns (i) and (ii)

2x = 134

x= 67  and y = 37

x² - y²

using identity a²-b² = (a+b)(a-b)

(67+37)(67-37)

=104 × 30

=3120

STEP 2 :

we know that, a²-b² = (a+b)(a-b)

∴ d= 104 × 30

      = 3120

where d is the difference between their squares.

Answer 2

Answer:

3120

Step-by-step explanation:

let one number be "a" and other number be "b"

given

a+b =104

a-b =30

to find

a^2 -b^2

solution

a^2- b^2 = (a+b)(a-b)

= (104)(30)

= 3120