Multiple choice

3 years ago ratio of age of Ragini and Samta was 5 : 4 which becomes 11 : 9, 2 years hence. Find the sum of their present ages./ 3 वर्ष पूर्व रागिनी तथा समता की उम्र का अनुपात 5: 4 था जो कि दो वर्ष पश्चात् 11: 9 हो गया। उनकी वर्तमान आयु का योग ज्ञात कीजिए।

  1. 80 years/ वर्ष

  2. 76 years/ वर्ष

  3. 72 years/ वर्ष

  4. 96 years/ वर्ष
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D Correct answer
Explanation

Let Ragini's and Samta's ages 3 years ago be 5x and 4x. Present ages: 5x+3 and 4x+3. After 2 years (5 years from -3): ages are 5x+5 and 4x+5. Given ratio 11:9, so (5x+5)/(4x+5) = 11/9. Solving: 45x+45 = 44x+55, so x = 10. Present sum = (5×10+3) + (4×10+3) = 53+43 = 96 years.

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