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the numbers are 11 and 13
Step-by-step explanation:
let the numbers be x and y
as the sum two numbers is 24
therefore, x+y=24
x =24-y .....................................(1)
now the product of the numbers is 143
xy=143 ....................................(2)
Putting the value of x in (2) we get,
(24-y)y=143
24y-y^2=143
-y^2+24y-143=0
y^2-24y+143=0
y^2-11y-13y+143=0
y(y-11)-13(y-11)=0
(y-13)(y-11)=0
therefore,y=11 and 13
hence x=24-11=13. (when y = 11)
x=24-13=11. (when y = 13)
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