Question

3 years ago, the sum of the ages of a father and his son was $40$ yeas. After 2 years, the sum of their ages will be ............

• A. $46$ years
• B. $40$ years
• C. $50$ years
• D. $60$ years

Answer 1

The correct option is C $50$ years

Let the present ages of father and son be $x$ and $y$ respectively

$3$ years ago, sum of their ages was $40$

$⟹(x-3)+(y-3)=40$

$⟹x+y=40+3+3$

$⟹x+y=46$ which is the sum of their present ages

After $2$ years, each of their ages will increase by $2$ i.e. $(x+2),(y+2)$

Now, $(x+2)+(y+2)=(x+y)+2+2=46+4=50$.

$\therefore (x+2)+(y+2)=50$

Hence, after $2$ years sum of their ages will be $50$.