Ram's age is rd of his father's age. Ram's father's age in 12 years will be 12 years more than twice of Shyam's age after 10 years. If Shyam's eighth birthday was celebrated 3 years before, then what is Ram's age at present.

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14 years

16 years

11 years

13 years

answer is A.

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Detailed Solution

Concept- Since Shyam's eighth birthday was three years ago, his current age is

11 years. Shyam will be 21 years old in 10 years. As a result, Ram's father will be 12 years older than 21 years. Using this, calculate the age of Ram's father and then Ram.
We are given that Ram's age is

After 10 years, while Shyam's eighth birthday was celebrated 3 years earlier, Ram will be a third of his father's age and would be 12 years older than Shyam.
Shyam turned eight three years ago, thus he is now three years older than that age.
Shyam is currently a year old.

years
Let x be the father of Ram.
After ten years, Ram's father would be 12 years older than Shyam, which is more than double his age.
When 10 years have passed, Shyam will be

years
So

will be 12 more than twice of 21 years

Ram's father will be 54 years old in 12 years.
So his present age will be

years.
Ram's age is

rd of his father's age. This means Ram's age is

rd of 42 years

So, Ram's present age is 14 years .
Hence, the correct answer is option 1.

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