The sum of two numbers is1000 and the difference between their square is256000 . Find the number

The sum of two numbers is1000 and the difference between their square

1.	The sum of two numbers is1000 and the difference between their square is256000 . Find the number
Answer» a+b=1000a2-b2=256000(a+b)(a-b)=256000(a-b)=256000÷1000=256a+b=10002a=1000+256=1256a=1256÷2=628 (i).... a+b=1000 and (ii)... (a+b) (a-b) =256000 and then put the value of a+b from (i) in (ii) and you will get a-b=256 it will be eq (iii) again from (iii) a=256+b put this value in (i) and you will get b=372 now again put this value in (i) and you will get a= 628. Okay, it is the solution along with answer