Question

pranav's father is 5 times older than pranav and pranav is twice as old as his sister meera. in two years time, the sum of their ages will be 58. how old is pranav now?

Answer 1

Pranav is 8 years old now, the present age of Pranav is 8 years.

As per the given data,

Pranav's father is 5 times older than Pranav.

Let the present age of Pranav is = x years

Let the present age of Pranav's father is = 5x years

Pranav is twice as old as his sister Meera.

So, the present age of Meera will be = $\frac{x}{2}\:years$

From above,

The sum of the present age of Pranav, his father and his sister will be $=x+5x+\frac{x}{2}$

As in two years' time, the sum of their ages will be 58.

So, after two the age of Pranav will be = x+2 years

Age of Pranav's father after 2 years will be = 5x+2 years

Age of Pranav's sister after 2 years will be = $\frac{x}{2}+2\:years$

So, from above,

$=x+2+5x+2+\frac{x}{2}+2=58\\\Rightarrow 6.5x+6=58\\\Rightarrow 6.5x=52\\\Rightarrow x=\frac{52}{6.5}=8$

So, the present age of Pranav will be x years = 8 years.

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