the sum of too numbers is 6000 the numbers are
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Let the numbers are x and y
According to the question
⇒x+y=100 eq1
⇒x
2
−y
2
=256000
x
2
−y
2
=(x+y)(x−y)
⇒1000∗(x−y)=256000
⇒x−y=256 eq2
Adding eq1 and eq2
⇒2x=1256⇒x=628
Put the value of x in eq1
⇒628+y=1000⇒y=372
The numbers are 628 and 372
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