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:

METHOD I:-

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

METHOD II :-

we know that, a²-b² = (a+b)(a-b)

∴ d= 104 × 30

= 3120

where d is the difference between their squares.