The average age of a man and his two children is 15 years and the average age of man's wife and the same children is 13 years. If the age of man is 31 years, the age of his wife is (in years):
Let the age of two children and wife be x, y and z. ATQ: 31 + x + y = 45 x + y = 14---------(1) Now, x + y + z = 39---------(2) Now, we know that x + y = 14 => x + y + z = 39 => 14 + z = 39 => z = 25 Therefore, age of wife = 25 years
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