Multiple choice

Four years ago ratio of age of Saumya and Raveena was (8:11). Four year hence ratio of their age will be (4:5). Find the sum of their present ages.

  1. 42

  2. 46

  3. 48

  4. 45

  5. None of these
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B Correct answer
Explanation

Let present ages be S (Saumya) and R (Raveena). Four years ago: (S - 4)/(R - 4) = 8/11, giving 11S - 8R = 12. Four years hence: (S + 4)/(R + 4) = 4/5, giving 5S - 4R = -4. Solving simultaneously: From second equation, S = (4R - 4)/5. Substituting in first: 11(4R - 4)/5 - 8R = 12, which gives (44R - 44 - 40R)/5 = 12, so 4R - 44 = 60, R = 26. Then S = (104 - 4)/5 = 20. Sum = 20 + 26 = 46.

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