Question

The sum of ages of Ajit and Sumit is 40 years. After 10 years, Ajit will be twice as
old as Sumit. Find the present ages of Ajit and Sumit.

Answer 1

Answer:

this is the solutions for the age based problem

Answer 2

Step-by-step explanation:

let

the age of Ajit=X

the age of Sumit=y

after 10 year the age of Ajit and Sumit

age of Ajit=X+10

age of Sumit=y+10

A. T. Q

$x + y = 40..........(1) \\ ajit \: will \: be \: twice \: as \: old \: as \: sumit \\ so \\ = > x + 10 = 2(y + 10) \\ = > x + 10 = 2y + 20 \\ = > x - 2y = 10...........(2) \\ now \: putting \: together \: 1 \: and \: 2 \\ x + y = 40 \\ x - 2y = 10 \\ - \: \: + \: \: \: \: \: - \\ = = = = = = = = = \\ 3y = 30 \\ y = 10 \\ now \: putting \: the \: value \: of \: y \: in \: equation \: (1) \\ x + y = 40 \\ x + 10 = 40 \\ x = 40 - 10 \\ x = 30$

hence

the present age of Ajit is 30 years

and the present age of Sumit is 10years