Five years ago the age of John was 5 times that of his son After 5 years his age will be 3 time...........

Quant (SSC) Problems based on Ages

Five years ago, the age of John was 5 times that of his son. After 5 years, his age will be 3 times that of his son. After how many years, will he be twice as old as his son?

15 years

25 years

30 years

35 years

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Explanation:

Let the present age of John be x and that of his son be y,
Forming equations,
x – 5 = 5(y – 5)
x + 5 = 3(y + 5)
After soving we get,
x = 55 and y = 15
After how many years, he will be twice as old as son,
55 + x = 2 (15 + x)
x = 25 years
The answer can be found by trying options
= (55 + 25) /(15 + 25) = 2