Question

The sum of two numbers is 75 and their difference is 20. Find the difference of their squares.

Answer 1

Answer:

let the two numbers be a and b.

we are given a+b=75

a-b=20

we have to find the difference between their squares.

i.e.a^2-b^2

a2-b2=(a+b) (a-b)

=(75) (20)

=1500

ans is 1500

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please mark it brainliest...

Answer 2

Answer:

1500

Step-by-step explanation:

$= > here \: given \: that \: sum \: of \: two \: number \: is \: 75 \: and \\ \: \: \: \: \: \: \: different \: of \: these \: two \: numbers \: is \: 20 \\ \\ = > suppose \: these \: number \: are \: x \: and \: y$

sum of x and y is 75

$x + y = 75 .....equation(1)$

different of x and y is 20

$x - y = 20.....equation(2)$

solve to equation (1) and equation (2)

$x + y = 75 \\ \\ x - y = 20 \\ .................. \\ 2x \: \: \: \: \: = 95 \\ \\ x = \frac{95}{2} = \boxed{47.5} \\ \\ = > value \: of \: x \: put \: in \: any \: equation \: \\ \\ \therefore \: x + y = 75 \\ \\ \therefore \: 47.5 + y = 75 \\ \\ \therefore \: y = 75 - 47.5 \\ \\ \therefore \: y = \boxed{27.5}$

Find to square different of x and y

$= > {x}^{2} - {y}^{2} \\ \\ = > {(47.5)}^{2} - {(27.5)}^{2} \\ \\ = > 2256.25 - 756.25 \\ \\ = > 1500$