Question
The current ages of 'Ajay' and
'Bishnu' are in the ratio 4:5. After 'y' years from now, their ages will be in the ratio y:(y + 1). Determine the difference between the current ages of 'Ajay' and 'Bishnu'.Solution
ATQ, Let the present ages of ‘Ajay’ and ‘Bishnu’ be ‘4a’ years and ‘5a’ years, respectively. ATQ; {(4a + y)/(5a + y)} = {y/(y + 1)} Or, (4a + y) × (y + 1) = (5a + y) × y Or, 4ya + 4a + y 2 + y = 5ya + y2 Or, 4a + y = ya So, y = ya – 4a Or, y = a(y – 4) So, a = {y/(y – 4)} Difference between present ages of ‘Ajay’ and ‘Bishnu’ = 5a – 4a = ‘a’ years So, required value = {y/(y – 4)}
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