Question 3

The sum of the current ages of Asma and her grand father is 80 years. 10 years from now, Asma’s age will be one-fourth of her grandfather’s age. What is Asma’s current age?

Solution

Let Asma's age$$ = x$$

So, the age of grandfather of Asma $$=80-x$$

The age of Asma after 10 years will be $$=x+10$$

So, the age of grandfather of Asma $$=80-x+10=90-x$$

As per the condition is given in the question,

$$\Rightarrow x+10=\dfrac{90-x}{4}$$

$$\Rightarrow 4x+40=90-x$$

$$\Rightarrow 4x+x=90-40=50$$

$$\Rightarrow x=\dfrac{50}{5}=10$$

Hence, Asma's current age =10 Years.

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