Question
The current age of the mother is
six times that of her daughter. In 12 years, the ratio of their ages will be 8:3. Determine the age difference between the mother and daughter.Solution
ATQ,
Let the present age of the daughter be ‘x’ years Therefore, present age of the mother = 6x years According to the question, (6x + 12)/(x + 12) = 8/3 Or, 18x + 36 = 8x + 96 Or, 10x = 60 Or, x = 6 Required difference = 6x – x = 5x = 30 yearsÂ
Solve for x in the equation: 3(x + 2) + 2(2x - 5) = 5x + 9

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