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Q
Average age of ten persons learning dance is 32 years. When the age of their instructor is added, the average age...

Average age of ten persons learning dance is 32 years. When the age of their instructor is added, the average age becomes 34 years. The age of the instructor is-

A

54

B

52

C

46

D

56

E

48

A

54

B

52

C

46

D

56

E

48

Solution

The average age of 10 persons = 32 years∴ Total sum of ages of 10 persons = 10 × 32 = 320 yearsLet the age...

The average age of 10 persons = 32 years
∴ Total sum of ages of 10 persons = 10 × 32 = 320 years
Let the age of instructor be = a
The average age of 10 persons and the instructor = 34 years
∴ Sum of their ages = 11 × 34 = 374 years
∴ 320 + a = 374
a = 54 years

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Solution

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The average age of 10 persons = 32 yearsThe average age of 10 persons and the instructor = 34 yearsInstructors age =...

The average age of 10 persons = 32 years
The average age of 10 persons and the instructor = 34 years
Instructors age = 34 + (10 × (34 − 32))
= 34 + 20 = 54 years

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