Question
The current age of Anupama is 25%
greater than Chinky's age. Four years ago, the ages of Beena and Chinky were in the ratio of 4:5. If the combined present ages of Anupama and Beena add up to 50 years, determine the age difference between Beena and Chinky.Solution
ATQ,
Let the present age of 'Chinky' be '4x' years. So, present age of 'Anupama' = 4x × 1.25 = '5x' years So, present age of 'Beena' = (50 - 5x) years ATQ: {(50 - 5x - 4)/(4x - 4)} = (4/5) Or, 5 × (46 - 5x) = (4x - 4) × 4 Or, 230 - 25x = 16x - 16 Or, 246 = 41x So, x = 6 So, present age of 'Chinky' = 4x = 4 × 6 = 24 years And, present age of 'Beena' = 50 - 5x = 50 - 5 × 6 = 20 years So, required difference = 24 - 20 = 4 years
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