Question

The sum of the ages of a son and his father is 45 years. 5 years ago, the product of their ages was 34 years. What is the age of the son and the father respectively

Answer 1

Here Is Your Ans ⤵

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Let the age of father be x years and age of his son be ( 45 - x ) years,

Five years ago ,

Age of father = ( x - 5 ) years

Age of his son = ( 45 - x - 5 ) years = ( 40 - x ) years

According to the question,

Product of their ages five years ago = 4 × father's age five years ago

=> ( x - 5 ) ( 40 - x ) = 4( x - 5 )

=> 40 - x = 4

=> 40 - 4 = x

=> 36 = x

Hence ,

Present age of father = x years = 36 years

Present age of his son = ( 45 - x ) = ( 45 - 36 ) = 9 years

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