Question
Six years ago, the age of 'R' compared to the age of 'M'
six years from now was in the ratio 4:7. If the current average age of 'R' and 'M' is 33 years, what is the difference in their current ages?Solution
ATQ, Let the present age of 'R' and 'M' be ‘p’ years and ‘q’ years, respectively So, (p – 6)/(q + 6) = 4/7 Or, 7p – 42 = 4q + 24 Or, 7p – 4q = 66 ------------------ (1) Also, p + q = 2 × 33 = 66--------------- (2) Equation (2) × 4 + Equation (1), we get 11p = 330 Or, p = 30 So, q = 66 – 30 = 36 Required difference = 36 – 30 = 6 years
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