Question 21

The sum of the current ages of Vishal and Armaan is 70 years. 5 years ago, Vishal was twice as old as Armaan. What is Armaan’s current age?

Solution

Let the current age of Arman=x Years and age of Vishal = Y years

As per the question,

$$x+y=70------(i)$$

5 Years ago, age of Vishal =Y-5

5 Years ago, age of Arman= x-5

As per the condition,

$$\Rightarrow 2(x-5)=(y-5)$$

$$\Rightarrow 2x-10=y-5$$

$$\Rightarrow 2x-y=10-5=5$$

$$\Rightarrow 2x-y=5--------------(ii)$$

From the equation (i) and (ii)

$$\Rightarrow 3x=75$$

$$\Rightarrow x=25$$ Years

So, $$y=45$$Years

Hence current age of Arman =25 Years.


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