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Start learning 50% faster. Sign in nowATQ, Let the present ages of 'Arjun' and 'Bhanu' be '3a' years and '2a' years, respectively. So, present age of 'Chetna' = [{(3a + 5) /2} - 5] years ATQ; (2a - Y) × (6/10) = [{(3a + 5) /2} - 5] - Y Or, 12a - 6Y = 15a - 25 - 10Y So, 4Y = 3a - 25 ......... (I) Also, {(3a - 5) /(2a - 5) } = (8/Y) Or, Y × (3a - 5) = 8 × (2a - 5) So, Y = {(16a - 40) /(3a - 5) } On substituting the value of 'Y' in equation (II) , we have; 4 × {(16a - 40) /(3a - 5) } = 3a - 25 Or, 64a - 160 = (3a - 25) (3a - 5) Or, 64a - 160 = 9a2- 15a - 75a + 125 Or, 9a2- 154a + 285 = 0 Or, 9a2- 135a - 19a + 285 = 0 Or, 9a(a - 15) - 19(a - 15) = 0 Or, (9a - 19) (a - 15) = 0 So, a = 15 or a = (19/9) Since, age has to be an integer, a = 15 So, 4Y = 3 × 15 - 25 Or, 4Y = 20 So, Y = 5 So, present age of 'Chetna' = {(3a + 5) /2} - 5 = {(15 × 3) + 5) } ÷ 2 = 20 years = '4Y' years
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