Multiple choice

The ratio of present ages of Naresh and Raghu is 5 : 7 respectively. If the difference between Raghu's present age and Naresh's age after 6 years is 2 years, what will be the sum of present ages of Naresh and Raghu?

  1. 42 Years

  2. 48 Years

  3. 52 Years

  4. Cannot be determined

  5. None of these

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

Let Naresh's present age = 5x and Raghu's present age = 7x. Raghu's present age minus Naresh's age after 6 years = 2, so: 7x - (5x + 6) = 2. Solving: 7x - 5x - 6 = 2, so 2x = 8 and x = 4. Present ages: Naresh = 5×4 = 20, Raghu = 7×4 = 28. Sum = 20 + 28 = 48 years. Verification: 28 - (20+6) = 28 - 26 = 2 ✓