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Question : 22 of 39

Marks: +1, -0

The sum of two numbers is 75 and their difference is

20 .

Find the difference of their squares.

1500
1600
1550
None

Solution:

Concept:

The difference of squares formula:

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

.

Explanation:

Let the two numbers be

a

and

b

(with

a > b

).

Given:

a + b = 75

and

a - b = 20

.

The difference of their squares is

a^2 - b^2

.

Using the identity:

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

.

Substitute the known values:

20 \times 75 = 1500

.

Thus, the difference of their squares is

1500

.

Answer:

1500

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