Question

The sum of the reciprocals of Redman’s ages 3 years ago and 5 years from now is ⅓
Find his present

age.

Answer 1

Answer: 7 years

Step-by-step explanation:Let the present age of Redman be x

His age 3 years ago = (x-3) years

His age 5 years from now = (x+5) year

Thus,

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

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

3×(2x+2) = x^2+2x-15

6x+6 = x^2+2x-15

x^2+2x-15-6x-6=0

x^2-4x-21=0

x^2-7x+3x-21=0

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

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

Thus,

x=7,-3

Age cannot be negative

So, x=7

Present age of Redman = 7 years

Answer 2

Answer:

Please refer the attachment dear