Question
Two year ago, the ratio of Ravi's and Avi's age
was 3:4 respectively. Three years hence, this ratio would become 4:5. How old is Avi?Solution
Let the ages of Ravi and Avi two years ago be 3x and 4x respectively. So, their present ages will be: Ravi's present age = 3x + 2 Avi's present age = 4x + 2 Three years hence, Ravi's age = 3x + 2 + 3 = 3x + 5 Avi's age = 4x + 2 + 3 = 4x + 5 According to the question, (3x + 5) : (4x + 5) = 4 : 5 So, 5(3x + 5) = 4(4x + 5) 15x + 25 = 16x + 20 x = 5 Therefore, Avi's present age = 4x + 2Â = 4 Ă— 5 + 2Â = 22 years Hence, Avi is 22 years old.
A = (9/4) × B and C = (1/12) × A. If (A + B + C) = 300, then find the value of (12C – B).
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