Question
Three years ago, the ages of
Arnav and Bheema were in the ratio 3:4. Chinky’s current age is 33.33% greater than Arnav’s current age, and the combined present ages of Bheema and Chinky amount to 71 years. Calculate the sum of the current ages of Arnav and Bheema.Solution
ATQ, Let the present age of Arnav = 3a + 3 And the present age of Bheema = 4a + 3 4a + 3 + (3a + 3) × 33.33/100 = 71 4a + 3 + (3x + 3) × (4/3) = 71 4a + 4a = 71 – 3 – 4 8a = 64 a = 8 The present age of Arnav = 3 × 8 + 3 = 27 years The present age of Bheema = 4 × 8 + 3 = 35 years Required difference = 35 + 27 = 62 years
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