the sum of two numbers is 9 and the sum of their reciprocal is half find the numbers
Answers
Answered by
1
The number is 4.5+4.5 =9
sandy1211:
4 and 5 are the numbers...
wrong
x=6,3 and y=3,6
Wrong Answer
how to solve it plz tell in full format
i have solved pl check below
ok it's 3 and 6.
thanks to all
for helping me
Answered by
6
let the no.s be x and y
given:-
x+y=9----------------(1)
and 1/x+1/y =1/2 ----(2)
by replacing x=9-y in eq-2 we get
y²-9y+18=0
y²-6y-3y+18=0
y(y-6)-3(y-6)=0
(y-3)(y-6)=0
y=3 or y=6
by replacing y=3 in eq--1 we get
x=9-3
x=6
or
by replacing y=6 in eq--1 we get
x=3
therefore the two numbers are 3 and 6
given:-
x+y=9----------------(1)
and 1/x+1/y =1/2 ----(2)
by replacing x=9-y in eq-2 we get
y²-9y+18=0
y²-6y-3y+18=0
y(y-6)-3(y-6)=0
(y-3)(y-6)=0
y=3 or y=6
by replacing y=3 in eq--1 we get
x=9-3
x=6
or
by replacing y=6 in eq--1 we get
x=3
therefore the two numbers are 3 and 6
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