The sum of reciprocals of Rahul"s ages 3 years from now and 5 years ag

1.	The sum of reciprocals of Rahul"s ages 3 years from now and 5 years ago is 1/3. What will be his age after 7 years
Answer» Answer: Rahul's Age after 7 years = 16 years Step-by-step EXPLANATION: LET Rahul's present age be x Rahul's age after 3 years = 3 + x Rahul's age 5 years ago = x - 5 According to the question : $\frac{1}{3+x} + \frac{1}{x-5} = \frac{1}{3}$ ⇒ $\frac{x-5 + 3+ x}{(3+x)(x-5)} = \frac{1}{3}$ ⇒ $\frac{2x-2}{x^{2} -2x-15} = \frac{1}{3}$ ⇒ $6x-6 = x^{2} -2x-15$ ⇒ $x^{2} -8x - 9 = 0$ ⇒ $x^{2} -9x+x-9=0$ ⇒ $x(x-9)+(x-9) = 0$ ⇒ $(x+1)(x-9)$ x = -1 , 9 ∵ Age can't be negative. Rahul's Present age = 9 years. Rahul's Age after 7 years = 9 + 7 years ⇒ 16 years MARK THE ANSWER AS BRAINLIEST. DO FOLLOW