Multiple choice

Three years hence, the ratio of Karthi and Janvi will be 7:5. The age of Karthi two years hence is equal to two times of age of Janvi, 5 years ago. What is the present age of Karthi?

  1. 24 years

  2. 26 years

  3. 32 years

  4. 38 years

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let K and J be present ages. (K+3)/(J+3) = 7/5 => 5K+15 = 7J+21 => 5K-7J = 6. Also, (K+2) = 2(J-5) => K+2 = 2J-10 => K = 2J-12. Substitute: 5(2J-12)-7J = 6 => 10J-60-7J = 6 => 3J = 66 => J = 22. K = 2(22)-12 = 32.

AI explanation

Three years hence, let Karthi's age be 7x and Janvi's age be 5x. Two years hence, Karthi's age will be (7x - 1), and 5 years ago, Janvi's age was (5x - 8), leading to the equation 7x - 1 = 2(5x - 8). Solving gives 7x - 1 = 10x - 16, so 3x = 15 and x = 5. Karthi's present age is 7(5) - 3 = 32 years. The present age of Karthi is 32 years.

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