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

Answer:

the answer is 2

Step-by-step 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

$\frac{2}{3} (2x+20) years$

So we have

$x+20 = \frac{2}{3} (2x+20)$

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 .