find the two numbers who sum is 27 and product 182
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Answered by
2
The number are 13 and 14
kowshik11:
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do prime factoraisation of 182 we will get 7,2 and 13 then so 7 ,2,13 are prime factoraisation of 182 now multiply 7 and 2 then we will get 14 now add 13 and 14 we will get 27 and multiply it you will get 182 ............HOPE YOU GOT IT
Answered by
6
Let the two numbers be x,y
x+y=27. x=27-y
x×y=182
(27-y)y=182
27y-y^2=182
-y^2+27y-182=0
y^2-27y+182=0
y^2-14y-13y+182=0
y (y-14)-13 (y-14)=0
(y-14)(y-13)=0
y=14,13
If y=14 then x=27-14=13
If y=13 then. x=27-13=14
Therefore two numbers are 13,14
x+y=27. x=27-y
x×y=182
(27-y)y=182
27y-y^2=182
-y^2+27y-182=0
y^2-27y+182=0
y^2-14y-13y+182=0
y (y-14)-13 (y-14)=0
(y-14)(y-13)=0
y=14,13
If y=14 then x=27-14=13
If y=13 then. x=27-13=14
Therefore two numbers are 13,14
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