Question

The age of Arvind's father is $4$ times of his age. If $5$ years ago, father's age was $7$ times of the age of his son, what is the age of Arvind's father at present?

• A. $35$ years
• B. $40$ years
• C. $70$ years
• D. $84$ years

Answer 1

The correct option is B $40$ years

Let Arvind's age = $x$
Let Arvind's father age = $y$
Thus, $y=4x$
and, $y-5=7(x-5)$ or $y=7x-30$
Thus, $4x=7x-30$
$3x=30$ or $x=10$
Hence, y = 40 years
Thus, age of Arvind's father is 40 years.