Multiple choice

The ages of Sharma, Gupta, and Shastri are in the ratio 7 : 5 : 6 respectively. If the sum of their ages is 54 years, what is Sharma's age?

  1. 12 years

  2. 15 years

  3. 18 years

  4. 21 years

  5. None of these

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D Correct answer
Explanation

Ratio 7:5:6. Sum of parts = 7+5+6 = 18. Total age = 54. One part = 54/18 = 3. Sharma's age = 7 * 3 = 21 years.

AI explanation

Let the ages of Sharma, Gupta, and Shastri be 7x, 5x, and 6x respectively. The sum of their ages is 7x + 5x + 6x = 18x. We are given that 18x = 54, so x = 3. Sharma's age is 7x, which equals 7 times 3, resulting in 21 years.