Multiple choice

Four years ago ratio of age of Saumya and Raveena was 8:11 respect. Four year hence ratio of their age will be 4:5 respectively. Find the sum of their present ages. चार पूर्व सौम्या तथा रवीना के आयु का अनुपात क्रमशः 8 : 11 था। चार वर्ष पश्चात् उनकी आयु का अनुपात क्रमशः 4 : 5 होगा। उनकी वर्तमान आयु का योग ज्ञात कीजिए।

  1. 42

  2. 46

  3. 48

  4. 45

  5. None of these इनमें से कोई नहीं

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B Correct answer
Explanation

Let present ages be S and R. Four years ago: (S-4)/(R-4) = 8/11, so 11(S-4) = 8(R-4). In 4 years: (S+4)/(R+4) = 4/5, so 5(S+4) = 4(R+4). Solving: 11S - 44 = 8R - 32 gives 11S - 8R = 12. And 5S + 20 = 4R + 16 gives 5S - 4R = -4. Solving this system: S = 20, R = 26. Sum = 46.