The sum of the reciprocals of A’s ages (in years) 2 years ago and 2 years from now is 2/3. The present age of A is:

🧠 Explanation (Math):

Given: 1/(x−2) + 1/(x+2) = 2/3
Step 1: Combine ⇒ ( (x+2)+(x−2) )/(x²−4) = 2/3 ⇒ 2x/(x²−4) = 2/3
Step 2: Cross-multiply ⇒ 6x = 2x² − 8 ⇒ x² − 3x − 4 = 0
Step 3: (x − 4)(x + 1) = 0 ⇒ x = 4 (valid age)
Final Answer: 4 years