The sum of 2 numbers is 8. Determine the number if the sum of their reciprocals is 8/15. Please Give Full Answer With explanation
Answers & Comments
RabbitPanda
Let the no. Be x and y Now.. ATQ X+y=8......(1) X=8-y 1/x+1/y=8/15 X+y/xy=8/15 Using (1) 2/xy=8/15 1/xy=4/15 4xy=25 Xy=25/4 Put x=8-y (8-y)y=25/4 8y-y^2=25/4 32y-4y^2-25=0 #make factors nd u will get answer
Answers & Comments
Now..
ATQ
X+y=8......(1)
X=8-y
1/x+1/y=8/15
X+y/xy=8/15
Using (1)
2/xy=8/15
1/xy=4/15
4xy=25
Xy=25/4
Put x=8-y
(8-y)y=25/4
8y-y^2=25/4
32y-4y^2-25=0
#make factors nd u will get answer