The average age of 7 members of a family is 75 years. But the average age of 6 of them is 74 years 6 months. What is the age of the seventh member of the family?

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Bihar STET TGT (Social Science) Official Paper-I (Held On: 18 Sept, 2023 Shift 6)
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  1. 75.5
  2. 78
  3. 68
  4. 80

Answer (Detailed Solution Below)

Option 2 : 78
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Given:

The average age of 7 members of the family is 75 years

The average age of 6 of them is 74 years and 6 months

Concept used:

Sum = average × number

Calculation:

1 year = 12 months

1/2 year = 6 months

The total age of 7 members = 75 × 7 = 525 years

The total age of 6 members = 74.5 × 6 = 447 years

The age of the seventh member of the family = 525 - 447 = 78 years

The answer is 78 years.

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