The average age of 15 person is 32 years. If two more persons are added then the average is increased by 3 years. The new persons have an age difference of 9 years. The age (in years) of the younger among the new persons is:
Show answer & explanation
Correct answer: B
Explanation
Correct Answer is option 2 i.e. 53
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Understanding |
Application |
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Average age = sum of ages of all persons/number of persons Given Average age of 15 persons = 32 years
Let the ages of two persons are x and y And x – y = 9 ------- (I) |
Sum of ages of 15 persons = 32 × 15 = 480 As given: Average age of 17 persons = 32 + 3 = 35 Hence, Sum of ages of 17 persons = 17 × 35 = 595 Now, ⇒ 480 + x + y = 595 ⇒ x + y = 595 – 480 ⇒ x + y = 115 ------- (II) On adding (I) and (II) we get: 2x = 124 ⇒ x = 62 And on subtracting (I) from (II): ⇒ y = 53 ∴ The age of younger person = 53 years |