Question

sum of two numbers is 1000 difference is their squares 256000 the numbers are

Answer 1

let a>b
so
a + b = 1000......(1)
a=1000-b

a^2 - b^2 = 256000
(1000-b)^2 - b^2 = 256000
1000000+b^2+2000b-b^2=256000
b^2 get cancelled
1000000+2000b=256000
2000b=256000-1000000
2000b=-744000
b=744000/2000

b=-372

from eqn 1
a + b = 1000
a=1000+372
a=1372