Question

I am currently 5 times as old as my son. In 6 years time I will be three times as old as he will be then. What are our ages now ?

Answer 1

Let present age of my son = x years

Then my age = 5x years

After 6 years,

my age will be = 5x + 6

and my son's age = x + 6

According to the condition

5x + 6 = 3 (x + 6)

$\Rightarrow 5x+6=3x+18$

$\Rightarrow 5x-3x=18-6\Rightarrow 2x=12$

$\Rightarrow x=6$

$\therefore$ Present my age = $5x=5\times 6=30$ years and my son's age = 6 years