Question
The ratio of age of Rohit 8 years ago to the age of
Anjali 8 years hence is 5:9. If the average of their present ages is 36 years, what is the difference between their present ages?Solution
ATQ Let the present age of Rohit and Anjali be ‘r’ years and ‘a’ years, respectively. So, (r – 8) / (a + 8) = 5 / 9 Or, 9r – 72 = 5a + 40 Or, 9r – 5a = 112 ------------------ (1) Also, r + a = 2 × 36 = 72--------------- (2) Equation (2) × 5 + Equation (1), we get 14r = 472 Or, r = 33.71 (approximately 34) So, a = 72 – 34 = 38 Required difference = 38 – 34 = 4 years
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