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.
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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