Five years ago the average age of 4 persons A, B, C and D was 45 years. It another person E is included in the group, then the present average age of all the five persons becomes 49 years. What is the present age of E?

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UGC NET Official Paper 1: Held On 16 June 2023 Shift 2
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  1. 45 years
  2. 50 years
  3. 43 years
  4. 48 years

Answer (Detailed Solution Below)

Option 1 : 45 years
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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50 Questions 100 Marks 60 Mins

Detailed Solution

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The correct answer is 45 years

Explanation:

Key Points

Calculation:

5 years ago the average age of the four-person is 45 year, at present average age of four people = (45 + 5) = 50 yr

Total present age of the four people = (50 × 4) = 200 yr

Total present age of the five people = (49 × 5) = 245 yr

So, age of E = (245 - 200) = 45 yr

∴ The correct answer is 45 years

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