1.

Mother is 25 year older than her son. Find son’s age if after 8 years ratio of son’s age to mother’s age will be 4/9.

Answer»

Heya !!



LET present age of son be X YEARS.



Age of MOTHER = ( X + 25 ) years.






After 8 years age of son= ( X + 8 ) years.



After 8 years age of mother = ( X + 25 + 8 ) = ( X + 33 ) years.




According to the question,




X+ 8 / X + 33 = 4/9




9 ( X + 8 ) = 4 ( X + 33 )



9X + 72 = 4X + 132





9X - 4X = 132 - 72



5X = 60



X = 60/5



X = 12 years.



Present age of son = X = 12 Years.



And,


Present age of mother = X + 25 = 12 + 25 = 37 years.


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