Question
The ratio of age of Rahul 7 years ago to the age of Neha
7 years hence is 3:4. If the average of their present ages is 35 years, what is the difference between their present ages?Solution
ATQ Let the present age of Rahul and Neha be ‘r’ years and ‘n’ years, respectively. So, (r – 7) / (n + 7) = 3 / 4 Or, 4r – 28 = 3n + 21 Or, 4r – 3n = 49 ------------------ (1) Also, r + n = 2 × 35 = 70--------------- (2) Equation (2) × 3 + Equation (1), we get 7r = 259 Or, r = 37 So, n = 70 – 37 = 33 Required difference = 37 – 33 = 4 years
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