Multiple choice

The ratio of ages of Keshav and Saurabh is 4 : 5 and that of Keshav and Hari is 5 : 6. If sum of ages of all the three is 69 years, what is the Saurabh's age?

  1. 20 years

  2. 25 years

  3. 30 years

  4. 35 years

  5. None of these

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

Keshav:Saurabh = 4:5 and Keshav:Hari = 5:6. To make Keshav's parts equal, take LCM of 4 and 5, which is 20. Multiply first ratio by 5: Keshav:Saurabh = 20:25. Multiply second ratio by 4: Keshav:Hari = 20:24. So Keshav:Saurabh:Hari = 20:25:24. Total parts = 20+25+24 = 69. Saurabh's age = (25/69) × 69 = 25 years. This matches option B.