Question

the sum of two numbers is 30 and the difference of their squares is 300.find the number

Answer 1

let say suppose x & y are two no.

 x +y = 30

x² - y² =300

(x +y) (x-y) = 300

30 (x -y) = 300
(x -y) = 10
 
x + y = 30
x  - y = 10
----------------
 2x  = 40

x =20 ; y = 10

Answer 2

Here is your answer.

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