# the sum of two numbers is 15 if their reciprocals is 3/10 find the two number using quadratic formula plz fast friends

2
by aaa345

## Answers

2014-10-29T20:15:44+05:30
Let the no be =x
other no be =y
According to question
x+y=15⇒Y=15-x
1/X+1/Y=3/10
1/x+1/15-x=3/10
taking LCM
15-X+X =3
(15-X) X  10
150=45X-3X^2
3x^2-45x+150=0
x^2-15x+50=0
x^2 -10x-5x+50=0
x(x-10) -5(x-5)=0
(x-5) (x-10)=0
x=5 ,x=10

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2014-10-30T13:24:08+05:30

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Let the number be x
and second number be y

so given x + y = 15
and

{x +  y = 15}

{ x + y = 15 ⇒ y = 15 - x }

so x = 5 or 10

so when x = 10 then y = 15 - 10 = 5    so x = 10 , y = 5

and when x = 5 then y = 15 - 5 = 10    so x = 5 , y = 10