Question
The father is 5 years older than the mother and five times
as old as the son. If their current age sum is 110 years, after how many years will the father be twice as old as the son?Solution
ATQ,
Let the present age of the son and the father be 'x' years and '5x' years, respectively.
Then, present age of the mother = (5x - 5) years
So, x + 5x + (5x - 5) = 110
Or, 11x - 5 = 110
So, x = (110 + 5) ÷ 11 = 10
Present ages of the son and father are 10 years and 50 years, respectively.
For some 'y',
(10 + y) × 2 = (50 + y)
Or, 20 + 2y = 50 + y
So, y = 30
30 years hence from now, the father will be twice as old as the son
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