Multiple choice

The ratio between present ages of Ram and Shyam is 3 : 5. After 6 years, this ratio becomes 2 : 3. Find the present age of Shyam?

  1. 25

  2. 30

  3. 22

  4. 28

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be 3x and 5x. After 6 years, (3x + 6)/(5x + 6) = 2/3. Cross-multiplying: 9x + 18 = 10x + 12. So x = 6. Shyam's present age is 5x = 5 * 6 = 30.

AI explanation

Let the present ages of Ram and Shyam be 3x and 5x respectively. According to the given condition, (3x + 6) divided by (5x + 6) equals 2 divided by 3. Solving this linear equation gives 9x + 18 = 10x + 12, which simplifies to x = 6. Therefore, the present age of Shyam is 5 multiplied by 6, which is 30 years.