Average age of 6 sons of a family is 8 years…

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Average age of 6 sons of a family is 8 years. Average age of sons together with their parents is 22 years. If the father is older than the mother by 8 years, the age of mother (in years) is –

  1. A. 44
  2. B. 52
  3. C. 60
  4. D. 68

Answer: Option C

Here is complete explanation of Average age of 6 sons of a family is 8 years….

Solution(By ExamCraze Team)

Sum of ages of 6 sons of a family = 8 × 6 = 48
Sum of ages of 6 sons and their parents = 8 × 22 = 176
Parents's age = 176 - 48 = 128
Father's age - Mother's age = 8
x - y = 8
x + y = 128
x = 68
y = 60
∴ Mother's age = 60 years

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