Question

the
sum of 2 numbers is 100
and the difference between their
Squares is 1000
what are 2 numbers​

Answer 1

Answer:

45 and 55

45+55=100

(55*55) - (45*45)=1000

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Answer 2

Answer:

x+y=100----(1)

x^2-y^2=1000-----(2)

by solving equation 1,

x=100-y----(3)

substitute (3)in(2),

100^2-2×100×y+y^2-y^2=1000

10000-200y=1000

-200y=1000-10000

-200y= -9000

y=45

substitute y=45 in (1),

x=100-45

x=55

therefore the numbers are 55 and 45

hope it help you...