Question

seven years from now virat will be twice as old as mohinder.five years ago mohinder age was one year less than 2/5 of virat present age.what is virat present age?

Answer 1

Answer:

Step-by-step explanation:

Let the of virat be x

Mohinders age be y(present)

Seven years hence,

Age of virat=x+7

Age of mohinder=y+7

EQUATION 1:x+7=2(y+7)

=>x-2y=7

Five years ago,

Age of virat=x-5

Age of mahinder=y-5

EQUATION 2: 2÷5(x-5)-1=y-5

=>2/5x-y=-2

=>4/5x-2y=-4

x - 2y = 7

- 4/5x+2y=4

_____________

1/5× =11

× =55

° y =-48/-2 = 24

° °

Virat age= 55 yrs

Mahinder age= 24yrs

Answer 2

Step-by-step explanation:

Let V & M denote present ages (in years) of Virat & Mohinder respectively.

From above data we get following relations,

V + 7 = 2*(M + 7) …… (1a)

M - 5 = (2/5)*(V - 5) - 1 …… (1b)

From (1a) upon simplification we get,

V + 7 = 2*(M + 7) or M = (V - 7)/2 …… (2a)

From (1b) upon simplification we get,

M - 5 = (2/5)*(V - 5) - 1 = (2/5)*V - 3

or M = (2/5)*V + 2 …… (2b)

From (2a) & (2b) we get,

(V - 7)/2 = (2/5)*V + 2

or 5*(V - 7) = 4*(V + 5)

or V = 20 + 35 = 55 (years) [Ans]