Multiple choice

Ratio of present ages of Nitin and Shiveta is 9 : 8. When they met six years ago, the sum of their ages was 39 years. Find their present ages.

  1. 36 and 32

  2. 18 and 16

  3. 27 and 24

  4. 24 and 20

  5. None of these
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C Correct answer
Explanation

Present ages: 9x, 8x. Six years ago: 9x-6, 8x-6. Sum = 17x - 12 = 39. 17x = 51, x = 3. Present ages: 27 and 24.

AI explanation

Six years ago, the sum of Nitin and Shiveta's ages was 39 years, meaning their present total age is 39 plus 6 plus 6, which equals 51 years. Let their present ages be 9x and 8x, so their sum is 17x. Setting 17x equal to 51 gives x = 3. Multiplying this ratio value by their respective parts gives their present ages as 27 and 24 years.

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