Question

Jay’s father is twice as old as Jay. In 20 years Jay will be two thirds as old as his father. Find the number

Answer 1

the answer is 2

Explanation:

Answer 2

Let the age of Jay be x years, so age of Jay's father is 2x years .

After 20 years,

Jay's age will be
`(x+20)years`

And Jay's father age will be
`(2x+20) years`

But at that time, jay's age will be

`(2)/(3) (2x+20) years`

So we have

`x+20 = (2)/(3) (2x+20)`

Cross multiplication

`3(x+20) = 2(2x+20) \\ 3x+60 = 4x + 40 \\ 60-40 = 4x-3x \\ x=20 years`

Therefore Jay's age is 20 years and Jay's Father's age is 40 years .