Average
- 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 yearsCorrect 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
- 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 yearsCorrect 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
- 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
- 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 × 10Correct 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
- 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 + 24Correct 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