What is present age of Arya and his son? आर्य और उसके पुत्र की वर्तमान आयु क्या है? Statement I Five years ago, Arya age was double that of his son’s age that time. Statement II Present age of Arya and his son are in the ratio of 11:6. Statement III Five year hence, the respective ratio of Arya’s age and his son’s age become 12:7 कथन I पांच वर्ष पहले, आर्य की आयु उस समय उसके पुत्र की आयु की दोगुनी थी। कथन II आर्य और उसके पुत्र की वर्तमान आयु का अनुपात 11:6 है। कथन III पांच वर्ष बाद, आर्य की आयु और उसके पुत्र की आयु का संबंधित अनुपात 12:7 हो जाता है

Let Arya's present age be A and son's present age be S. Statement I: (A-5) = 2(S-5) → A = 2S - 5. Statement II: A:S = 11:6 → A = 11x, S = 6x. Statement III: (A+5):(S+5) = 12:7 → 7(A+5) = 12(S+5) → 7A + 35 = 12S + 60 → 7A = 12S + 25. Using I and II: 11x = 2(6x) - 5 = 12x - 5 → x = 5 → A = 55, S = 30. Check with III: (55+5):(30+5) = 60:35 = 12:7, which matches. Using II and III: From II, A = 11x, S = 6x. Substituting in III: 7(11x + 5) = 12(6x + 5) → 77x + 35 = 72x + 60 → 5x = 25 → x = 5. Using I and III: A = 2S - 5 and 7(A+5) = 12(S+5) → 7(2S) = 12S + 25 → 2S = 25 → S = 12.5, A = 20. This also works. Any two statements are sufficient. Option C is correct.