Question
The average age of a family of 3 members is 36 years. If
the father’s age is 10 years more than the mother’s age, and the age of the son is 4 years less than the mother’s age, what is the age of the Son?Solution
Let the mother's age be x years. Father’s age = x + 10, Son’s age = x - 4. Let the daughter’s age be y years. The average age is given by (x + x + 10 + x - 4 ) / 3 = 36. 3x + 6 = 108 3x = 102 x = 34 Son’s age = x – 4 = 30 years. Hence, the Sonr’s age is 30 years. Correct answer: c) 30 years.
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