Question
Ratio of present age of a mother to that of her son is
7:3. After 6 years the ratio will become 5:3. What is the difference (in years) in their present ages?Solution
Let present age of mother and her son be ‘7x’ years and ‘3x’ years, respectively. ATQ; (7x + 6)/(3x + 6) = 5/3 Or, 3(7x + 6) = 5(3x + 6) Or, 21x + 18 = 15x + 30 Or, 6x = 12 Or, x = 2 Desired difference = 7x – 3x = 4x = 4 × 2 = 8 years
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