Question

The sum of two number is 1000 and the difference between their squares is 256000.find the number

Answer 1

750 and 250 is the answer

Answer 2

Answer:

let the two numbers by x and y

x+y= 1000

x^2-y^2= 256000

(x+y)(x-y)= 256000

(x-y)= 256

x+y=1000

x-y=256

Adding these two equations we get

2x= 1256

x= 628

y= 372