Question
Present age ratio of P and Q is 1:2. Four years ago,
average age of P, Q, and R was 32 years. At that time, P was 24 years younger than R. What will be Rβs age after 5 years?Solution
ATQ,
Let present ages of P, Q, and R be x, 2x, and y respectively. Four years ago: P β x β 4, Q β 2x β 4, R β y β 4 According to question: (x β 4 + 2x β 4 + y β 4) = 3 Γ 32 β 3x + y β 12 = 96 β 3x + y = 108 -------- (i) Also: y β 4 β (x β 4) = 24 β y β x = 24 -------- (ii) Subtracting (ii) from (i): (3x + y) β (y β x) = 108 β 24 β 3x + y β y + x = 84 β 4x = 84 β x = 21 Put x = 21 in equation (i): 3x + y = 108 β 63 + y = 108 β y = 45 Rβs age after 5 years = 45 + 5 = 50 years
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