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Q.

Shobo's mother's present age is six times Shobo's present age. Shobo's age five years from now will be one third of his mother's present age.Their present ages are ____years  and ____years respectively.


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Detailed Solution

Concept- Let Shobo’s present age be x years.
Then according to the question, the present age of his mother will be = 6x years.
After five years,
Shobo’s age will be (x+5)years
It is said that after five years, Shobo’s age will be one third of his mother's present age.
(x+5)=1/3(6x)  
Simplifying above equation we get, (x+5)=2
5=2x-x
x=5 years
Therefore, Shobo’s present age will be 5 years and his mother’s present age will be 6x = 6×5 = 30 years.
Hence, the correct answer is 5,30 .
 
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