Multiple choice

The ratio of the present age of father and son is 3:1. Eight year hence the ratio of their ages will become 19:9. Find the son's present age? पिता और पुत्र की वर्तमान आयु का अनुपात 3 : 1 है। आठ वर्ष बाद उनकी आयु का अनुपात 19 : 9 हो जायेगा। पुत्र की वर्तमान आयु ज्ञात कीजिए।

  1. 10 years/वर्ष

  2. 12 years/वर्ष

  3. 16 years/वर्ष

  4. 18 years/वर्ष

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A Correct answer
Explanation

Let father's age = 3x, son's age = x. After 8 years: (3x+8)/(x+8) = 19/9. Cross-multiply: 9(3x+8) = 19(x+8). This gives 27x+72 = 19x+152, so 8x = 80 and x = 10. Son's present age is 10 years.