Average


  1. In a family of 5 members, the average age at present is 33 years. The youngest member is 9 years old. The average age of the family just before the birth of the youngest member was









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    Here , Age of the youngest member = 9 years
    In a family of 5 members, the average age at present = 33 years.
    Sum of the present age of family members = 33 × 5 = 165 years
    9 years ago,
    Sum of their age = 165 – 9 × 5 = 120 years

    Correct Option: A

    Here , Age of the youngest member = 9 years
    In a family of 5 members, the average age at present = 33 years.
    Sum of the present age of family members = 33 × 5 = 165 years
    9 years ago,
    Sum of their age = 165 – 9 × 5 = 120 years
    ∴ Required average age = 120 ÷ 4 = 30 years


  1. Two years ago the average age of a family of 8 members was 18 years. After the addition of a baby, the average age of the family is same today. What is the age of the baby ?









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    Given that , Two years ago , the average age of a family of 8 members = 18 years
    After the addition of a baby, the average age of the family is same today.
    Sum of present ages of 9 member family = 18 × 9 = 162 years
    Sum of 8 member’s present ages = 18 × 8 + 2 × 8 = 144 + 16 = 160 years

    Correct Option: A

    Given that , Two years ago , the average age of a family of 8 members = 18 years
    After the addition of a baby, the average age of the family is same today.
    Sum of present ages of 9 member family = 18 × 9 = 162 years
    Sum of 8 member’s present ages = 18 × 8 + 2 × 8 = 144 + 16 = 160 years
    ∴ Child’s age = 162 – 160 = 2 years



  1. The average age of four boys A, B, C and D is 5 years and the average age of A, B, D, E is 6 years. C is 8 years old. The age of E is (in years)









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    Given that , Age of C = 8 years
    The average age of four boys A, B, C and D = 5 years
    ⇒ A + B + C + D = 20 years
    ⇒ A + B + D = 20 – 8 = 12 years
    ∴ The average age of A, B, D, E = 6 years.

    Correct Option: A

    Given that , The average age of A, B, D, E = 6 years.
    Age of C = 8 years
    The average age of four boys A, B, C and D = 5 years
    ⇒ A + B + C + D = 20 years
    ⇒ A + B + D = 20 – 8 = 12 years
    ∴ The average age of A, B, D, E = 6 years.
    Now, A + B + D + E = 24 years
    ∴ E = 24 – 12 = 12 years


  1. Out of 10 teachers of a school, one teacher retires and at his place a new teacher of age 25 years joins. As a result of it, the average age of the teachers is reduced by 3 years. The age of the retired teacher is









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    According to question ,
    The average age is reduced by 3 years.
    ∴ Age of the retired teacher = 25 + 3 × 10

    Correct Option: D

    According to question ,
    The average age is reduced by 3 years.
    ∴ Age of the retired teacher = 25 + 3 × 10
    Age of the retired teacher = 55 years



  1. The average age of 8 persons is increased by 2 years, when one of them, whose age is 24 years is replaced by a new person. The age of the new person is :









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    Here , The average age of 8 persons increased by = 2 years
    Sum = 8 × 2
    The age of replaced by a new person = 24 years
    Age of new person = 8 × 2 + 24 = 16 + 24

    Correct Option: B

    Here , The average age of 8 persons increased by = 2 years
    Sum = 8 × 2
    The age of replaced by a new person = 24 years
    Age of new person = 8 × 2 + 24 = 16 + 24
    Age of new person = 40 years