Question

The age of a man is three times the sum of the ages of his two sons. Five years hence, his age will be double of the sum of the ages of his sons. The father's present age is?

• A. $40$ years
• B. $45$ years
• C. $50$ years
• D. $55$ years

Answer 1

The correct option is B $45$ years

Let the sum of ages of two sons be $x$ years

Age of man = $3xyears$

After $5$ years age of the man $=(3x+5)years$

Sum of ages of two sons $=(x+10)years$

Given, $(3x+5)=2(x+10)$

$\Rightarrow$ $(3x+5)=2x+20$

$\Rightarrow$ $x=15$

Hence $3x=3\left(15\right)=45$

$\therefore$ Present age of father is $45years$.