Question

the sum of 2 numbers is 15 and the sum of their reciprocal is 1/3 find the 2 numbers​

Answer 1

Answer:

Let first number =x

then the other number = 15−x

According to the question

x

1

+

15−x

1

=

10

3

10(15−x+x)=3(x(15−x))

150=45x−3x

2

3x

2

−45x+150=0

x

2

−15x+50=0

x

2

−10x−5x+50=0

(x−10)(x−5)=0

x=10,x=5