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

Posted by Ayaz Akhtar 7 years, 7 months ago

CBSE > Class 10 > Mathematics

2 answers

Valsamma Joseph 7 years, 7 months ago

a+b=1000 a2-b2=256000 (a+b)(a-b)=256000 (a-b)=256000÷1000=256 a+b=1000 2a=1000+256=1256 a=1256÷2=628

3Thank You

Yash Patil 7 years, 7 months ago

(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

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