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Engineering Exams RRB-JE JE (Junior Engineer) CMA (Chemical and Metallurgical Assistant) DMS (Depot Material Superintendent) CS (Chemical Supervisor - Research) MS (Metallurgical Supervisor - Research) Mathematics 2024 16.12.24 Paper-1 Shift-3 Medium +1 -0.33
The average age of Mohan and his four friends is 36 years. Mohan is 5 years older than the average age of his four friends. Determine Mohan’s age in years.
Correct Answer: B. 40
Explanation: The correct answer is Option B: 40. To solve this, let the average age of the four friends be x. According to the problem, Mohan’s age is x + 5. The sum of the ages of the four friends is 4x. The total age of all five individuals (Mohan and his four friends) is the sum of the friends' ages plus Mohan's age, which is 4x + (x + 5) = 5x + 5. We are given that the average age of these five people is 36, so their total age is 5 * 36 = 180. Setting the two expressions for the total age equal, we get 5x + 5 = 180. Solving for x, we find 5x = 175, so x = 35. Since Mohan is 5 years older than this average, his age is 35 + 5 = 40 years.
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