Question

The sum of the reciprocals of swamy s age 3years ago and 5 years from now is 1/3 prepare the quadratic equation in the variable Z to the above statement​

Answer 1

Answer:

Let Rehman's present age =x yrs.

3 yrs ago, Rehman's age =x−3 yrs

5 yrs hence, his age will be x+5 yrs

(x−3)

1

+

(x+5)

1

=

3

1

(x+5)(x−3)

(x+5+x−3)

=

3

1

x

2

+2x−15=6x+6

x

2

−4x−21=0

x

2

−7x+3x−21=0

x(x−7)+3(x−7)=0

(x+3)(x−7)=0

x=−3,7

Answer 2

Answer:

Let Swamy's present age be x

It is given

1/(x-3)+1/(x+5)=1/3

(x+5+x-3)/{x-3)(x+5)}=1/3

(2x+2)/{(x-3)(x+5)}=1/3

After cross multiply and simplifying you will get

x^2-4x-21=0

=(x-7)(x+3)=0

x=7 Ans