The difference between the square of two numbers is 256000 and the sum of the numbers is 1000. The numbers are-

Explanation

Let, two number are x and y respectively. According to question- x² – y² = 256000 (x + y) (x – y) = 256000 ..... (i) and given that, x + y = 1000 ..... (ii) Putting the value eqⁿ (ii) in eqⁿ (i) 1000 × (x – y) = 256000 Adding eqⁿ (ii) and (iii) x – y = 256 ..... (iii) 2x = 1256 x = 628 Putting the value of x in eqⁿ (ii) y = 1000 – 628 y = 372 So, the numbers are 628 and 372.