Question
The current age of 'N' is 25% more than the current age
of 'M'. The present age of 'P' is the average of the present ages of 'M' and 'N'. Three years from now, the combined age of 'M' and 'P' will be 40 years. If the present age of 'N' is given as 'b', determine the age of 'P' after b/4 years from now.Solution
Let the present age of 'M' be '4y' years.
Present age of 'N' = 1.25 X 4y = '5y' years
Present age of 'P' = (4y + 5y) ÷ 2 = 4.5y years
So, 4y + 4.5y = 40 - 3 - 3
Or, 8.5y = 34
Or, 'y' = 4
Now, 'b' = 5 X 4 = 20 years
Present age of 'P' = 4.5 X 4 = 18 years
Therefore, required age of 'P' = 18 + (20/4) = 23 years
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