Question 77

After 25 years, Rama will be 5 times as old as he is now. Find his present age.

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Solution

Let Rama's present age be x years.
Then, Rama's age after 25 years = (x + 25) years.
It is given that after 25 yr, Rama's age will be 5 times his present age.
Therefore, the equation is
$x + 25 = 5 x \Rightarrow 25 = 5 x - x [t r a n s p o s i n g x t o R H S] \Rightarrow 25 = 4 x \Rightarrow \frac{25}{4} = \frac{4 x}{4} [d i v i d i n g b o t h s i d e s b y 4] \Rightarrow 6 \frac{1}{4} = x$
Hence, the present age of Rama's is $6 \frac{1}{4} y e a r s .$

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