Question 21

The sum of the current ages of Vinayak and his father is 50 years. 5 years from now, Vinayak’s age will be one-fifth of his father’s age. Whatis Vinayak’s current age?

Solution

Let the Vinayak's age be x and his father's age be y

x+y=50

x=50-y

According to the question,

$$\frac{1}{5}\left(y+5\right)=x+5$$

$$\frac{y}{5}+1=x+5$$

$$\frac{y}{5}-x=4$$

$$\frac{y}{5}-\left(50-y\right)=4$$

$$\frac{y}{5}+y=54$$

$$y=45$$

Vinayak's age = 5 years.

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