Question
The average age of A, B and C is 40 years, while the
average age of B, A and D is 30 years. If the ratio of the age of C and D is 5:3, respectively, then find the age of D.Solution
Sum of ages of A, B and C = 40 × 3 = 120 years Sum of ages of B, A and D = 30 × 3 = 90 years So, C – D = 120 – 90 = 30 years Let the age of C and D be 5x and 3x years, respectively. 5x – 3x = 30 2x = 30 x = 15 So, age of D = 3x = 45 years.
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