Question
Determine the average current age of 'A' and 'B', given
that six years ago, 'A' was 12 years younger than 'B', and twelve years from now, the ratio of their ages will be 3:4.Solution
We can say that Let present age of 'A' and 'B' be 'x' years and 'y' years respectively. According to question, (x – 6) = (y – 6) – 12 x = y – 12…………………………….(1) And, (x + 12)/(y + 12) = 3/4 4x + 48 = 3y + 36 Putting value of x from equation (1) 4 × (y – 12) + 48 = 3y + 36 4Y – 48 + 48 = 3y + 36 y = 36 years x = 24 years Desired Average = [(36 + 24)/2] = 30 yrs
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