Multiple choice

Ankit is 3 years older than Arpit. The ratio of Ankit's age 2 years ago to that of Arpit's age 3 years ago was 5 : 3. What is the present age of Arpit?

  1. 7 years

  2. 9 years

  3. 14 years

  4. 17 years

  5. 22 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Arpit's age be x, Ankit's age is x+3. (Ankit-2)/(Arpit-3) = 5/3. (x+3-2)/(x-3) = 5/3. (x+1)/(x-3) = 5/3. 3x+3 = 5x-15. 2x = 18, x = 9.

AI explanation

Let Arpit's present age be x, so Ankit's present age is x plus 3. Two years ago, Ankit was x plus 1 and three years ago, Arpit was x minus 3. The ratio of x plus 1 to x minus 3 is 5 to 3, so 3x plus 3 equals 5x minus 15. Solving for x gives 2x equals 18, which means x equals 9. Arpit's present age is 9 years.

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