Question

The average age of the present ages of rahul & arvind is 36 year. If rahul is 8 year older than arvind, what is arvind's present age?

Answer 1

$Let \: present \: age \: of \: Rahul \: and \: \\ Arvind \: be \: x \: and \: y \: respectively. \\ \\ According \: to \: question \\ x + y = 36 \: \: ............(1) \\ x = y + 8 \: \: \: \: ............(2) \\ from \: eq(1)and(2) \\ y + 8 + y = 36 \\ 2y = 36 - 8 \\ 2y = 28 \\ y = \frac{28}{2} \\ y = 14 \\ \\ from \: eq(2) \\ x = 14 + 8 \\ x = 22 \\ \\ Rahul \: age \: = 22 \\ Arvind \: age \: = 14$