Question
The average of the current ages of Ram and his father is
44 years. In six years, Ram's age will be half of his father's age four years ago. What is the difference between the present ages of Ram and his father?Solution
Sum of present ages of Ram and his father = 44 X 2 = 88 years Let the present age of Ram = 'x' years Then, present age of his father = (88 - x) years According to the question, (x + 6) = (88 - x - 4) ÷ 2 Or, (x + 6) X 2 = (84 - x) So, 2x + 12 = 84 - x So, x = (84 - 12) ÷ 3 = 24 So, present age of Ram's father = 88 - 24 = 64 years Therefore, difference between their ages = 64 - 24 = 40 years
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