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 [tex] (x+20)years [/tex]
And Jay's father age will be [tex] (2x+20) years [/tex]
But at that time, jay's age will be
[tex] \frac{2}{3} (2x+20) years [/tex]
So we have
[tex] x+20 = \frac{2}{3} (2x+20) [/tex]
Cross multiplication
[tex] 3(x+20) = 2(2x+20)
\\
3x+60 = 4x + 40
\\
60-40 = 4x-3x
\\
x=20 years [/tex]
Therefore Jay's age is 20 years and Jay's Father's age is 40 years .
