Answers

2014-07-21T19:19:43+05:30
A+b=1000
a^2-b^2=256000

But (a+b)(a-b)=a^2-b^2
1000*(a-b)=256000
a-b=256000:1000
a-b=256 => a=256+b

256+b+b=1000
2b=1000-256
2b=744
b=744:2
b=372

a=372+256
a=628

1 4 1
2014-07-21T19:37:48+05:30
Let the numbers are x and y
x+y = 1000 ----------------------------(1)
x²-y² = 256000
(x+y)(x-y) = 256000
x-y = 256000/1000
x-y = 256  --------------------(2)
(1) + (2)
2x = 1256
x = 628
y = 1000-628
y = 372
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