Question 75

Seven years from now Virat will be twice as old as Mohinder. Five years ago Mohinder’s age was oneyear less than $$\frac{2}{5}$$ of Virat’s age. What is Virat’s present age?

Solution

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:

$$2\div 5(x-5)-1=y-5$$

=>$$2\div 5(x-y)=-2$$

=>$$4\div 5x-2y=-4$$

x - 2y = 7

$$- 4\div 5x+2y=4$$

_____________

$$1\div 5× =11$$

× =55

Virat age= 55 yrs

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