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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-
54
52
46
56
48
54
52
46
56
48
Solution
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
Keynote
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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