Question

The sum of two numbers is 1000 and the difference between their squares is 256000. Find the numbers.

Answer 1

Answer:

wait I will upload its answer

Answer 2

Answer:

628 and 372

Step-by-step explanation:

Let the no.s be a and b

∴a+b=1000  ................(1)

and, a²+b²=256000

    ⇒(a+b)(a-b)=256000

    ⇒1000(a-b)=256000   ...........(2)

    ⇒a-b=256    ......................(3)

adding (1) and (3), we get,

   2a = 1256

⇒ a=628

substituting the value of a in (1), we get

  628 + b = 1000

⇒b = 372