Find two numbers knowing that there’s some is 100 and the difference of their squares Is 1,000

the two numbers are 55 and 45

Step-by-step explanation:

according to the question :-

=》x + y = 100 - ( equation 1 )

and

=》

=》

( by algebraic identity )

=》

=》

=》

so,

by using linear equations :-

x + y = 100

x - y = 10

adding both equations we get,

now, putting the value of x in equation 1

i hope it helped you....

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