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Vikas TU Grade: 12th Pass
        The sum of the two numbers is 15 and the sum of their reciprocals is 3/10.

Find the numbers.
6 years ago

Answers : (3)

Tejas Paresh Lodaya
33 Points
										

x+y=15


y+x/xy=3/10


1/x + 1/15-x=3/10


150=45x-3x2


3x2-45x-150=0


x2-15-50=0


Therefore no.are 5 and 10


 

6 years ago
Sudheesh Singanamalla
114 Points
										

let the numbers be x and y


so


x+y = 15 -------------------------(i)


and 1/x + 1/y = 3/10


==> (y + x)/xy = 3/10 (putting (i))


15/ xy = 3/10


5/xy = 1/10


xy = 50 --------------------(ii)


x = 50/y -----------------------(iii)


50/y + y = 15


50 + y2 = 15y


y2 - 15y + 50 = 0


(y-10)(y-5) = 0


y = 10 and y = 5


now there will be 2 numbers for 'x'


substituting y as 10 we get


x = 5 ;


substituting y as 5 we get


x = 10;


so the numbers are x = 10 and y = 5 and viceversa !


 


PLEASE APPROVE !

6 years ago
Neer Varshney
76 Points
										

let the numbers be x & y.


x+y=15............1


1/x + 1/y = 3/10...........2


y+x /xy = 3.10


10(x+y)= 3xy.


10(15)= 3(15-y)y.


50 = 15y-y2.


y2-15y+50 = 0.


y2-10y-5y+50 = 0.


y(y-10)-5(y-10)=0.


(y-5)(y-10)=0.


y = 5 or 10.


Similarly x = 10 or 5.


The numbers are 5 and 10.


 

6 years ago
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